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2121015240 = 233359192137
BaseRepresentation
bin111111001101100…
…0001111111001000
312110211001201221000
41332123001333020
513320434441430
6550244415000
7103363221621
oct17633017710
95424051830
102121015240
11999292163
124b23a7460
1327a568406
1416199aa48
15c6318e60
hex7e6c1fc8

2121015240 has 128 divisors (see below), whose sum is σ = 7081056000. Its totient is φ = 564724224.

The previous prime is 2121015229. The next prime is 2121015271. The reversal of 2121015240 is 425101212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991452 + ... + 993588.

It is an arithmetic number, because the mean of its divisors is an integer number (55320750).

Almost surely, 22121015240 is an apocalyptic number.

2121015240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121015240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540528000).

2121015240 is an abundant number, since it is smaller than the sum of its proper divisors (4960040760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121015240 is a wasteful number, since it uses less digits than its factorization.

2121015240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2121015240 is about 46054.4812151869. The cubic root of 2121015240 is about 1284.8366893650.

Adding to 2121015240 its reverse (425101212), we get a palindrome (2546116452).

The spelling of 2121015240 in words is "two billion, one hundred twenty-one million, fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 919 1080 1838 2137 2757 3676 4274 4595 5514 6411 7352 8271 8548 9190 10685 11028 12822 13785 16542 17096 18380 19233 21370 22056 24813 25644 27570 32055 33084 36760 38466 41355 42740 49626 51288 55140 57699 64110 66168 76932 82710 85480 96165 99252 110280 115398 124065 128220 153864 165420 192330 198504 230796 248130 256440 288495 330840 384660 461592 496260 576990 769320 992520 1153980 1963903 2307960 3927806 5891709 7855612 9819515 11783418 15711224 17675127 19639030 23566836 29458545 35350254 39278060 47133672 53025381 58917090 70700508 78556120 88375635 106050762 117834180 141401016 176751270 212101524 235668360 265126905 353502540 424203048 530253810 707005080 1060507620 2121015240