2456642136 has 96 divisors (see below), whose sum is σ = 6742290960. Its totient is φ = 745445376.

The previous prime is 2456642131. The next prime is 2456642143. The reversal of 2456642136 is 6312466542.

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

It is a junction number, because it is equal to n+sod(n) for n = 2456642094 and 2456642103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456642131) 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, 291940 + ... + 300236.

Almost surely, 2^2456642136 is an apocalyptic number.

2456642136 is a gapful number since it is divisible by the number (26) 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 2456642136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371145480).

2456642136 is an abundant number, since it is smaller than the sum of its proper divisors (4285648824).

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

2456642136 is a wasteful number, since it uses less digits than its factorization.

2456642136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8388 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 2456642136 is about 49564.5249750262. The cubic root of 2456642136 is about 1349.3169175276.

The spelling of 2456642136 in words is "two billion, four hundred fifty-six million, six hundred forty-two thousand, one hundred thirty-six".