2990912870400 has 2304 divisors, whose sum is σ = 13242382433280. Its totient is φ = 577555660800.

The previous prime is 2990912870389. The next prime is 2990912870419. The reversal of 2990912870400 is 40782190992.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9742387047 + ... + 9742387353.

It is an arithmetic number, because the mean of its divisors is an integer number (5747561820).

Almost surely, 2^{2990912870400} is an apocalyptic number.

2990912870400 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 2990912870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621191216640).

2990912870400 is an abundant number, since it is smaller than the sum of its proper divisors (10251469562880).

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

2990912870400 is a wasteful number, since it uses less digits than its factorization.

2990912870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 2990912870400 in words is "two trillion, nine hundred ninety billion, nine hundred twelve million, eight hundred seventy thousand, four hundred".