2564751720420 has 384 divisors, whose sum is σ = 8541170426880. Its totient is φ = 636664872960.

The previous prime is 2564751720379. The next prime is 2564751720439. The reversal of 2564751720420 is 240271574652.

2564751720420 is a `hidden beast` number, since 2 + 5 + 6 + 475 + 172 + 0 + 4 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1286878944 + ... + 1286880936.

It is an arithmetic number, because the mean of its divisors is an integer number (22242631320).

Almost surely, 2^{2564751720420} is an apocalyptic number.

2564751720420 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 2564751720420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270585213440).

2564751720420 is an abundant number, since it is smaller than the sum of its proper divisors (5976418706460).

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

2564751720420 is a wasteful number, since it uses less digits than its factorization.

2564751720420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 2564751720420 in words is "two trillion, five hundred sixty-four billion, seven hundred fifty-one million, seven hundred twenty thousand, four hundred twenty".