2900164378320 has 240 divisors, whose sum is σ = 10626830053632. Its totient is φ = 702958832640.

The previous prime is 2900164378289. The next prime is 2900164378333. The reversal of 2900164378320 is 238734610092.

2900164378320 is a `hidden beast` number, since 2 + 90 + 0 + 164 + 378 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57101577 + ... + 57152343.

Almost surely, 2^{2900164378320} is an apocalyptic number.

2900164378320 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 2900164378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313415026816).

2900164378320 is an abundant number, since it is smaller than the sum of its proper divisors (7726665675312).

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

2900164378320 is a wasteful number, since it uses less digits than its factorization.

2900164378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58010 (or 58001 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2900164378320 in words is "two trillion, nine hundred billion, one hundred sixty-four million, three hundred seventy-eight thousand, three hundred twenty".