2506578144 has 96 divisors (see below), whose sum is σ = 7673299200. Its totient is φ = 716155776.

The previous prime is 2506578119. The next prime is 2506578161. The reversal of 2506578144 is 4418756052.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2506578096 and 2506578105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 70989.

It is an arithmetic number, because the mean of its divisors is an integer number (79930200).

Almost surely, 2^2506578144 is an apocalyptic number.

2506578144 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 2506578144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836649600).

2506578144 is an abundant number, since it is smaller than the sum of its proper divisors (5166721056).

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

2506578144 is an equidigital number, since it uses as much as digits as its factorization.

2506578144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76157 (or 76135 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 2506578144 is about 50065.7382248579. The cubic root of 2506578144 is about 1358.3981544118.

The spelling of 2506578144 in words is "two billion, five hundred six million, five hundred seventy-eight thousand, one hundred forty-four".