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2980858890240 = 21134571124243
BaseRepresentation
bin101011011000001001000…
…010010000100000000000
3101112222010011220011010000
4223120021002100200000
5342314244333441430
610201215423040000
7425234314336260
oct53301102204000
911488104804100
102980858890240
11a4a1a2150700
12401863740000
1318812b086c5a
14a43bab097a0
15528140d3e60
hex2b609090800

2980858890240 has 1440 divisors, whose sum is σ = 13424790899520. Its totient is φ = 619253268480.

The previous prime is 2980858890223. The next prime is 2980858890271. The reversal of 2980858890240 is 420988580892.

2980858890240 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 8 + 588 + 9 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 702533559 + ... + 702537801.

It is an arithmetic number, because the mean of its divisors is an integer number (9322771458).

Almost surely, 22980858890240 is an apocalyptic number.

2980858890240 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 2980858890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712395449760).

2980858890240 is an abundant number, since it is smaller than the sum of its proper divisors (10443932009280).

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

2980858890240 is a wasteful number, since it uses less digits than its factorization.

2980858890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 2980858890240 in words is "two trillion, nine hundred eighty billion, eight hundred fifty-eight million, eight hundred ninety thousand, two hundred forty".