2990905646400 has 672 divisors, whose sum is σ = 12470904192000. Its totient is φ = 683066234880.

The previous prime is 2990905646363. The next prime is 2990905646401. The reversal of 2990905646400 is 46465090992.

It is a happy number.

2990905646400 is a `hidden beast` number, since 2 + 9 + 90 + 90 + 5 + 6 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990905646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441198211 + ... + 441204989.

Almost surely, 2^{2990905646400} is an apocalyptic number.

2990905646400 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 2990905646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235452096000).

2990905646400 is an abundant number, since it is smaller than the sum of its proper divisors (9479998545600).

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

2990905646400 is a wasteful number, since it uses less digits than its factorization.

2990905646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2990905646400 in words is "two trillion, nine hundred ninety billion, nine hundred five million, six hundred forty-six thousand, four hundred".