2920630825728 has 864 divisors, whose sum is σ = 10930035497472. Its totient is φ = 755653017600.

The previous prime is 2920630825727. The next prime is 2920630825733. The reversal of 2920630825728 is 8275280360292.

2920630825728 is a `hidden beast` number, since 2 + 9 + 2 + 0 + 63 + 0 + 8 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (2920630825727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1403473648 + ... + 1403475728.

It is an arithmetic number, because the mean of its divisors is an integer number (12650504048).

Almost surely, 2^{2920630825728} is an apocalyptic number.

2920630825728 is a gapful number since it is divisible by the number (28) 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 2920630825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465017748736).

2920630825728 is an abundant number, since it is smaller than the sum of its proper divisors (8009404671744).

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

2920630825728 is a wasteful number, since it uses less digits than its factorization.

2920630825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2920630825728 in words is "two trillion, nine hundred twenty billion, six hundred thirty million, eight hundred twenty-five thousand, seven hundred twenty-eight".