2557332062208 has 1536 divisors, whose sum is σ = 9874717332480. Its totient is φ = 642105999360.

The previous prime is 2557332062183. The next prime is 2557332062269. The reversal of 2557332062208 is 8022602337552.

2557332062208 is a `hidden beast` number, since 2 + 5 + 57 + 332 + 0 + 62 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26364248016 + ... + 26364248112.

It is an arithmetic number, because the mean of its divisors is an integer number (6428852430).

Almost surely, 2^{2557332062208} is an apocalyptic number.

2557332062208 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 2557332062208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937358666240).

2557332062208 is an abundant number, since it is smaller than the sum of its proper divisors (7317385270272).

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

2557332062208 is an frugal number, since it uses more digits than its factorization.

2557332062208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2557332062208 in words is "two trillion, five hundred fifty-seven billion, three hundred thirty-two million, sixty-two thousand, two hundred eight".