2577722340864 has 160 divisors (see below), whose sum is σ = 7510207351680. Its totient is φ = 779177984000.

The previous prime is 2577722340857. The next prime is 2577722340881. The reversal of 2577722340864 is 4680432277752.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6585067 + ... + 6965525.

It is an arithmetic number, because the mean of its divisors is an integer number (46938795948).

Almost surely, 2^{2577722340864} is an apocalyptic number.

2577722340864 is a gapful number since it is divisible by the number (24) 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 2577722340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755103675840).

2577722340864 is an abundant number, since it is smaller than the sum of its proper divisors (4932485010816).

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

2577722340864 is a wasteful number, since it uses less digits than its factorization.

2577722340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380892 (or 380876 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 2577722340864 in words is "two trillion, five hundred seventy-seven billion, seven hundred twenty-two million, three hundred forty thousand, eight hundred sixty-four".