2930961686400 has 1152 divisors, whose sum is σ = 12196761857280. Its totient is φ = 662999040000.

The previous prime is 2930961686399. The next prime is 2930961686459. The reversal of 2930961686400 is 46861690392.

2930961686400 is a `hidden beast` number, since 2 + 93 + 0 + 96 + 1 + 68 + 6 + 400 = 666.

2930961686400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 298737495 + ... + 298747305.

It is an arithmetic number, because the mean of its divisors is an integer number (10587466890).

Almost surely, 2^{2930961686400} is an apocalyptic number.

2930961686400 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 2930961686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098380928640).

2930961686400 is an abundant number, since it is smaller than the sum of its proper divisors (9265800170880).

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

2930961686400 is a wasteful number, since it uses less digits than its factorization.

2930961686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2930961686400 in words is "two trillion, nine hundred thirty billion, nine hundred sixty-one million, six hundred eighty-six thousand, four hundred".