2586740640 has 96 divisors (see below), whose sum is σ = 8888999616. Its totient is φ = 627087360.

The previous prime is 2586740561. The next prime is 2586740641. The reversal of 2586740640 is 460476852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2586740592 and 2586740601.

It is not an unprimeable number, because it can be changed into a prime (2586740641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239677 + ... + 250236.

It is an arithmetic number, because the mean of its divisors is an integer number (92593746).

Almost surely, 2^2586740640 is an apocalyptic number.

2586740640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586740640 is an abundant number, since it is smaller than the sum of its proper divisors (6302258976).

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

2586740640 is a wasteful number, since it uses less digits than its factorization.

2586740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489942 (or 489934 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2586740640 is about 50860.0102241437. The cubic root of 2586740640 is about 1372.7273779645.

The spelling of 2586740640 in words is "two billion, five hundred eighty-six million, seven hundred forty thousand, six hundred forty".