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2142260480 = 2852372767
BaseRepresentation
bin111111110110000…
…0100110100000000
312112022001002220202
41333230010310000
513341404313410
6552324024332
7104041625243
oct17754046400
95468032822
102142260480
119aa283008
124b95320a8
13281a96569
1416472b25a
15c8113ca5
hex7fb04d00

2142260480 has 72 divisors (see below), whose sum is σ = 5354560512. Its totient is φ = 819636224.

The previous prime is 2142260383. The next prime is 2142260489. The reversal of 2142260480 is 840622412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142260489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6944 + ... + 65823.

It is an arithmetic number, because the mean of its divisors is an integer number (74368896).

Almost surely, 22142260480 is an apocalyptic number.

2142260480 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 2142260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677280256).

2142260480 is an abundant number, since it is smaller than the sum of its proper divisors (3212300032).

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

2142260480 is an equidigital number, since it uses as much as digits as its factorization.

2142260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72811 (or 72797 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2142260480 is about 46284.5598445097. The cubic root of 2142260480 is about 1289.1123192172.

Adding to 2142260480 its reverse (840622412), we get a palindrome (2982882892).

The spelling of 2142260480 in words is "two billion, one hundred forty-two million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 14720 29440 72767 145534 291068 363835 582136 727670 1164272 1455340 1673641 2328544 2910680 3347282 4657088 5821360 6694564 8368205 9314176 11642720 13389128 16736410 18628352 23285440 26778256 33472820 46570880 53556512 66945640 93141760 107113024 133891280 214226048 267782560 428452096 535565120 1071130240 2142260480