2900405200896 has 1152 divisors, whose sum is σ = 10570764072960. Its totient is φ = 776562868224.

The previous prime is 2900405200831. The next prime is 2900405200993. The reversal of 2900405200896 is 6980025040092.

2900405200896 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 40 + 520 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2900405200896² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4246566571 + ... + 4246567253.

It is an arithmetic number, because the mean of its divisors is an integer number (9176010480).

Almost surely, 2^{2900405200896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2900405200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285382036480).

2900405200896 is an abundant number, since it is smaller than the sum of its proper divisors (7670358872064).

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

2900405200896 is an equidigital number, since it uses as much as digits as its factorization.

2900405200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2900405200896 in words is "two trillion, nine hundred billion, four hundred five million, two hundred thousand, eight hundred ninety-six".