2536840642512 has 160 divisors (see below), whose sum is σ = 7169531120640. Its totient is φ = 766564162560.

The previous prime is 2536840642489. The next prime is 2536840642513. The reversal of 2536840642512 is 2152460486352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536840642513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584658039 + ... + 584662377.

It is an arithmetic number, because the mean of its divisors is an integer number (44809569504).

Almost surely, 2^{2536840642512} is an apocalyptic number.

2536840642512 is a gapful number since it is divisible by the number (22) 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 2536840642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584765560320).

2536840642512 is an abundant number, since it is smaller than the sum of its proper divisors (4632690478128).

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

2536840642512 is a wasteful number, since it uses less digits than its factorization.

2536840642512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 2536840642512 in words is "two trillion, five hundred thirty-six billion, eight hundred forty million, six hundred forty-two thousand, five hundred twelve".