2519347920 has 160 divisors (see below), whose sum is σ = 8003059200. Its totient is φ = 655429632.

The previous prime is 2519347903. The next prime is 2519347933. The reversal of 2519347920 is 297439152.

It is a super-2 number, since 2×2519347920² = 12694227884016652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686694 + ... + 1688186.

It is an arithmetic number, because the mean of its divisors is an integer number (50019120).

Almost surely, 2^2519347920 is an apocalyptic number.

2519347920 is a gapful number since it is divisible by the number (20) 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 2519347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001529600).

2519347920 is an abundant number, since it is smaller than the sum of its proper divisors (5483711280).

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

2519347920 is a wasteful number, since it uses less digits than its factorization.

2519347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2519347920 is about 50193.1062995707. The cubic root of 2519347920 is about 1360.7010370760.

The spelling of 2519347920 in words is "two billion, five hundred nineteen million, three hundred forty-seven thousand, nine hundred twenty".