2900645959680 has 1536 divisors, whose sum is σ = 12218169600000. Its totient is φ = 652361859072.

The previous prime is 2900645959643. The next prime is 2900645959697. The reversal of 2900645959680 is 869595460092.

2900645959680 is a `hidden beast` number, since 2 + 90 + 0 + 6 + 459 + 5 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6922782511 + ... + 6922782929.

It is an arithmetic number, because the mean of its divisors is an integer number (7954537500).

Almost surely, 2^{2900645959680} is an apocalyptic number.

2900645959680 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 2900645959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109084800000).

2900645959680 is an abundant number, since it is smaller than the sum of its proper divisors (9317523640320).

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

2900645959680 is an equidigital number, since it uses as much as digits as its factorization.

2900645959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 2900645959680 in words is "two trillion, nine hundred billion, six hundred forty-five million, nine hundred fifty-nine thousand, six hundred eighty".