2890955329920 has 1536 divisors, whose sum is σ = 12318179328000. Its totient is φ = 610118811648.

The previous prime is 2890955329849. The next prime is 2890955329949. The reversal of 2890955329920 is 299235590982.

2890955329920 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 9 + 5 + 532 + 9 + 92 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7548186049 + ... + 7548186431.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648000).

Almost surely, 2^{2890955329920} is an apocalyptic number.

2890955329920 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 2890955329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159089664000).

2890955329920 is an abundant number, since it is smaller than the sum of its proper divisors (9427223998080).

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

2890955329920 is a wasteful number, since it uses less digits than its factorization.

2890955329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 2890955329920 in words is "two trillion, eight hundred ninety billion, nine hundred fifty-five million, three hundred twenty-nine thousand, nine hundred twenty".