2573835264 has 880 divisors, whose sum is σ = 10652522496. Its totient is φ = 597196800.

The previous prime is 2573835223. The next prime is 2573835269. The reversal of 2573835264 is 4625383752.

2573835264 is a `hidden beast` number, since 2 + 5 + 7 + 383 + 5 + 264 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573835269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83026929 + ... + 83026959.

Almost surely, 2^2573835264 is an apocalyptic number.

2573835264 is a gapful number since it is divisible by the number (24) 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 2573835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326261248).

2573835264 is an abundant number, since it is smaller than the sum of its proper divisors (8078687232).

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

2573835264 is a wasteful number, since it uses less digits than its factorization.

2573835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2573835264 is about 50732.9800425719. The cubic root of 2573835264 is about 1370.4407028743.

The spelling of 2573835264 in words is "two billion, five hundred seventy-three million, eight hundred thirty-five thousand, two hundred sixty-four".