2519524980 has 96 divisors (see below), whose sum is σ = 8958324480. Its totient is φ = 575890560.

The previous prime is 2519524951. The next prime is 2519524991. The reversal of 2519524980 is 894259152.

It is a happy number.

2519524980 is a `hidden beast` number, since 2 + 519 + 52 + 4 + 9 + 80 = 666.

2519524980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2519524980² = 12696012249688000800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329491 + ... + 337050.

It is an arithmetic number, because the mean of its divisors is an integer number (93315880).

Almost surely, 2^2519524980 is an apocalyptic number.

2519524980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2519524980 is an abundant number, since it is smaller than the sum of its proper divisors (6438799500).

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

2519524980 is a wasteful number, since it uses less digits than its factorization.

2519524980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666566 (or 666558 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2519524980 is about 50194.8700566104. The cubic root of 2519524980 is about 1360.7329130600.

The spelling of 2519524980 in words is "two billion, five hundred nineteen million, five hundred twenty-four thousand, nine hundred eighty".