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2502028240 = 245532512351
BaseRepresentation
bin1001010100100001…
…1110101111010000
320110101000012111121
42111020132233100
520111004400430
61052135052024
7116000613655
oct22510365720
96411005447
102502028240
111074369938
12599b11014
1330b48c6aa
1419a41bc2c
15e99cba7a
hex9521ebd0

2502028240 has 80 divisors (see below), whose sum is σ = 5953118976. Its totient is φ = 977600000.

The previous prime is 2502028237. The next prime is 2502028271. The reversal of 2502028240 is 428202052.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063065 + ... + 1065415.

Almost surely, 22502028240 is an apocalyptic number.

2502028240 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 2502028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976559488).

2502028240 is an abundant number, since it is smaller than the sum of its proper divisors (3451090736).

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

2502028240 is a wasteful number, since it uses less digits than its factorization.

2502028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2502028240 is about 50020.2782879104. The cubic root of 2502028240 is about 1357.5757417772.

The spelling of 2502028240 in words is "two billion, five hundred two million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 251 265 424 502 530 848 1004 1060 1255 2008 2120 2351 2510 4016 4240 4702 5020 9404 10040 11755 13303 18808 20080 23510 26606 37616 47020 53212 66515 94040 106424 124603 133030 188080 212848 249206 266060 498412 532120 590101 623015 996824 1064240 1180202 1246030 1993648 2360404 2492060 2950505 4720808 4984120 5901010 9441616 9968240 11802020 23604040 31275353 47208080 62550706 125101412 156376765 250202824 312753530 500405648 625507060 1251014120 2502028240