2517067872 has 336 divisors, whose sum is σ = 8596908432. Its totient is φ = 716636160.

The previous prime is 2517067831. The next prime is 2517067873. The reversal of 2517067872 is 2787607152.

2517067872 is a `hidden beast` number, since 2 + 517 + 0 + 67 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2517067873) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4362048 + ... + 4362624.

It is an arithmetic number, because the mean of its divisors is an integer number (25586037).

Almost surely, 2^2517067872 is an apocalyptic number.

2517067872 is a gapful number since it is divisible by the number (22) 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 2517067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298454216).

2517067872 is an abundant number, since it is smaller than the sum of its proper divisors (6079840560).

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

2517067872 is a wasteful number, since it uses less digits than its factorization.

2517067872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2517067872 is about 50170.3883979385. The cubic root of 2517067872 is about 1360.2904281707.

The spelling of 2517067872 in words is "two billion, five hundred seventeen million, sixty-seven thousand, eight hundred seventy-two".