2506644144 has 120 divisors (see below), whose sum is σ = 7591514112. Its totient is φ = 799191360.

The previous prime is 2506644109. The next prime is 2506644163. The reversal of 2506644144 is 4414466052.

2506644144 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 644 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2506644099 and 2506644108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75409 + ... + 103439.

Almost surely, 2^2506644144 is an apocalyptic number.

2506644144 is a gapful number since it is divisible by the number (24) 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 2506644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795757056).

2506644144 is an abundant number, since it is smaller than the sum of its proper divisors (5084869968).

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

2506644144 is a wasteful number, since it uses less digits than its factorization.

2506644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28077 (or 28059 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2506644144 is about 50066.3973539139. The cubic root of 2506644144 is about 1358.4100768397.

The spelling of 2506644144 in words is "two billion, five hundred six million, six hundred forty-four thousand, one hundred forty-four".