2900985943680 has 1536 divisors, whose sum is σ = 12029472000000. Its totient is φ = 660678819840.

The previous prime is 2900985943633. The next prime is 2900985943693. The reversal of 2900985943680 is 863495890092.

2900985943680 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 9 + 8 + 594 + 36 + 8 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 4843048021 + ... + 4843048619.

It is an arithmetic number, because the mean of its divisors is an integer number (7831687500).

Almost surely, 2^{2900985943680} is an apocalyptic number.

2900985943680 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 2900985943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000000).

2900985943680 is an abundant number, since it is smaller than the sum of its proper divisors (9128486056320).

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

2900985943680 is a wasteful number, since it uses less digits than its factorization.

2900985943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 2900985943680 in words is "two trillion, nine hundred billion, nine hundred eighty-five million, nine hundred forty-three thousand, six hundred eighty".