2506628784 has 120 divisors (see below), whose sum is σ = 7504573248. Its totient is φ = 714859520.

The previous prime is 2506628777. The next prime is 2506628791. The reversal of 2506628784 is 4878266052.

It is an interprime number because it is at equal distance from previous prime (2506628777) and next prime (2506628791).

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

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, 144379 + ... + 160805.

Almost surely, 2^2506628784 is an apocalyptic number.

2506628784 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 2506628784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752286624).

2506628784 is an abundant number, since it is smaller than the sum of its proper divisors (4997944464).

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

2506628784 is a wasteful number, since it uses less digits than its factorization.

2506628784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 2506628784 is about 50066.2439573811. The cubic root of 2506628784 is about 1358.4073021842.

The spelling of 2506628784 in words is "two billion, five hundred six million, six hundred twenty-eight thousand, seven hundred eighty-four".