2501819424 has 72 divisors (see below), whose sum is σ = 7661833452. Its totient is φ = 769789440.

The previous prime is 2501819423. The next prime is 2501819483. The reversal of 2501819424 is 4249181052.

2501819424 is a `hidden beast` number, since 2 + 50 + 181 + 9 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2474067600 + 27751824 = 49740^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2501819423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330367 + ... + 337854.

Almost surely, 2^2501819424 is an apocalyptic number.

2501819424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2501819424 is an abundant number, since it is smaller than the sum of its proper divisors (5160014028).

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

2501819424 is a wasteful number, since it uses less digits than its factorization.

2501819424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668250 (or 668239 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2501819424 is about 50018.1909309003. The cubic root of 2501819424 is about 1357.5379735620.

The spelling of 2501819424 in words is "two billion, five hundred one million, eight hundred nineteen thousand, four hundred twenty-four".