2517052580 has 72 divisors (see below), whose sum is σ = 6162500736. Its totient is φ = 861067200.

The previous prime is 2517052579. The next prime is 2517052591. The reversal of 2517052580 is 852507152.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2517052580.

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 23 ways as a sum of consecutive naturals, for example, 478565 + ... + 483795.

It is an arithmetic number, because the mean of its divisors is an integer number (85590288).

Almost surely, 2^2517052580 is an apocalyptic number.

2517052580 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 2517052580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081250368).

2517052580 is an abundant number, since it is smaller than the sum of its proper divisors (3645448156).

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

2517052580 is a wasteful number, since it uses less digits than its factorization.

2517052580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 35.

The square root of 2517052580 is about 50170.2359970531. The cubic root of 2517052580 is about 1360.2876734306.

The spelling of 2517052580 in words is "two billion, five hundred seventeen million, fifty-two thousand, five hundred eighty".