2557614271968 has 720 divisors, whose sum is σ = 9102483870480. Its totient is φ = 679039635456.

The previous prime is 2557614271963. The next prime is 2557614271969. The reversal of 2557614271968 is 8691724167552.

It is a happy number.

2557614271968 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 614 + 2 + 7 + 1 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557614271963) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 696326580 + ... + 696330252.

It is an arithmetic number, because the mean of its divisors is an integer number (12642338709).

Almost surely, 2^{2557614271968} is an apocalyptic number.

2557614271968 is a gapful number since it is divisible by the number (28) 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 2557614271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551241935240).

2557614271968 is an abundant number, since it is smaller than the sum of its proper divisors (6544869598512).

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

2557614271968 is a wasteful number, since it uses less digits than its factorization.

2557614271968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3757 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 2557614271968 in words is "two trillion, five hundred fifty-seven billion, six hundred fourteen million, two hundred seventy-one thousand, nine hundred sixty-eight".