2587338264 has 128 divisors (see below), whose sum is σ = 7823278080. Its totient is φ = 697065600.

The previous prime is 2587338233. The next prime is 2587338277. The reversal of 2587338264 is 4628337852.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269629 + ... + 279059.

It is an arithmetic number, because the mean of its divisors is an integer number (61119360).

Almost surely, 2^2587338264 is an apocalyptic number.

2587338264 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 2587338264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911639040).

2587338264 is an abundant number, since it is smaller than the sum of its proper divisors (5235939816).

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

2587338264 is a wasteful number, since it uses less digits than its factorization.

2587338264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9537 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 2587338264 is about 50865.8850704478. The cubic root of 2587338264 is about 1372.8330852066.

The spelling of 2587338264 in words is "two billion, five hundred eighty-seven million, three hundred thirty-eight thousand, two hundred sixty-four".