2507781264 has 240 divisors, whose sum is σ = 7288973952. Its totient is φ = 740855808.

The previous prime is 2507781259. The next prime is 2507781307. The reversal of 2507781264 is 4621877052.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34353132 + ... + 34353204.

Almost surely, 2^2507781264 is an apocalyptic number.

2507781264 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 2507781264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644486976).

2507781264 is an abundant number, since it is smaller than the sum of its proper divisors (4781192688).

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

2507781264 is a wasteful number, since it uses less digits than its factorization.

2507781264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2507781264 is about 50077.7521859758. The cubic root of 2507781264 is about 1358.6154565772.

The spelling of 2507781264 in words is "two billion, five hundred seven million, seven hundred eighty-one thousand, two hundred sixty-four".