2517290217216 has 288 divisors, whose sum is σ = 7565906880000. Its totient is φ = 825459351552.

The previous prime is 2517290217157. The next prime is 2517290217287. The reversal of 2517290217216 is 6127120927152.

2517290217216 is a `hidden beast` number, since 2 + 517 + 2 + 90 + 21 + 7 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 122408151 + ... + 122428713.

It is an arithmetic number, because the mean of its divisors is an integer number (26270510000).

Almost surely, 2^{2517290217216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517290217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782953440000).

2517290217216 is an abundant number, since it is smaller than the sum of its proper divisors (5048616662784).

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

2517290217216 is a wasteful number, since it uses less digits than its factorization.

2517290217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20876 (or 20856 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2517290217216 in words is "two trillion, five hundred seventeen billion, two hundred ninety million, two hundred seventeen thousand, two hundred sixteen".