2564420546272 has 48 divisors (see below), whose sum is σ = 5569676087472. Its totient is φ = 1154710932480.

The previous prime is 2564420546269. The next prime is 2564420546287. The reversal of 2564420546272 is 2726450244652.

It is a super-3 number, since 3×2564420546272³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75159438 + ... + 75193549.

It is an arithmetic number, because the mean of its divisors is an integer number (116034918489).

Almost surely, 2^{2564420546272} is an apocalyptic number.

It is an amenable number.

2564420546272 is an abundant number, since it is smaller than the sum of its proper divisors (3005255541200).

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

2564420546272 is a wasteful number, since it uses less digits than its factorization.

2564420546272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150353051 (or 150353043 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 49.

The spelling of 2564420546272 in words is "two trillion, five hundred sixty-four billion, four hundred twenty million, five hundred forty-six thousand, two hundred seventy-two".