2567009640 has 128 divisors (see below), whose sum is σ = 8307734400. Its totient is φ = 630789120.

The previous prime is 2567009603. The next prime is 2567009651. The reversal of 2567009640 is 469007652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1264146 + ... + 1266174.

It is an arithmetic number, because the mean of its divisors is an integer number (64904175).

Almost surely, 2^2567009640 is an apocalyptic number.

2567009640 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 2567009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153867200).

2567009640 is an abundant number, since it is smaller than the sum of its proper divisors (5740724760).

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

2567009640 is a wasteful number, since it uses less digits than its factorization.

2567009640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2567009640 is about 50665.6652971221. The cubic root of 2567009640 is about 1369.2281940428.

The spelling of 2567009640 in words is "two billion, five hundred sixty-seven million, nine thousand, six hundred forty".