2586348972 has 72 divisors (see below), whose sum is σ = 6808663680. Its totient is φ = 826882560.

The previous prime is 2586348959. The next prime is 2586348979. The reversal of 2586348972 is 2798436852.

It is not an unprimeable number, because it can be changed into a prime (2586348979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115854 + ... + 136362.

Almost surely, 2^2586348972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586348972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404331840).

2586348972 is an abundant number, since it is smaller than the sum of its proper divisors (4222314708).

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

2586348972 is a wasteful number, since it uses less digits than its factorization.

2586348972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20663 (or 20658 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2586348972 is about 50856.1596269321. The cubic root of 2586348972 is about 1372.6580912186.

The spelling of 2586348972 in words is "two billion, five hundred eighty-six million, three hundred forty-eight thousand, nine hundred seventy-two".