2617138978560 has 720 divisors, whose sum is σ = 9931841311392. Its totient is φ = 655766323200.

The previous prime is 2617138978499. The next prime is 2617138978561. The reversal of 2617138978560 is 658798317162.

2617138978560 is a `hidden beast` number, since 2 + 6 + 171 + 389 + 7 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617138978561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1922952280 + ... + 1922953640.

Almost surely, 2^{2617138978560} is an apocalyptic number.

2617138978560 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 2617138978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965920655696).

2617138978560 is an abundant number, since it is smaller than the sum of its proper divisors (7314702332832).

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

2617138978560 is a wasteful number, since it uses less digits than its factorization.

2617138978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 2617138978560 in words is "two trillion, six hundred seventeen billion, one hundred thirty-eight million, nine hundred seventy-eight thousand, five hundred sixty".