2651530464000 has 1008 divisors, whose sum is σ = 10804765948704. Its totient is φ = 642733056000.

The previous prime is 2651530463983. The next prime is 2651530464013. The reversal of 2651530464000 is 4640351562.

2651530464000 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 5 + 3 + 0 + 4 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×2651530464000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 256602834 + ... + 256613166.

It is an arithmetic number, because the mean of its divisors is an integer number (10719013838).

Almost surely, 2^{2651530464000} is an apocalyptic number.

2651530464000 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 2651530464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402382974352).

2651530464000 is an abundant number, since it is smaller than the sum of its proper divisors (8153235484704).

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

2651530464000 is an equidigital number, since it uses as much as digits as its factorization.

2651530464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2651530464000 in words is "two trillion, six hundred fifty-one billion, five hundred thirty million, four hundred sixty-four thousand".