2557198512 has 300 divisors, whose sum is σ = 8500966320. Its totient is φ = 740171520.

The previous prime is 2557198499. The next prime is 2557198517. The reversal of 2557198512 is 2158917552.

2557198512 is a `hidden beast` number, since 2 + 557 + 1 + 9 + 85 + 12 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2557198517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3606414 + ... + 3607122.

Almost surely, 2^2557198512 is an apocalyptic number.

2557198512 is a gapful number since it is divisible by the number (22) 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 2557198512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250483160).

2557198512 is an abundant number, since it is smaller than the sum of its proper divisors (5943767808).

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

2557198512 is a wasteful number, since it uses less digits than its factorization.

2557198512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 748 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 2557198512 is about 50568.7503503893. The cubic root of 2557198512 is about 1367.4815671732.

The spelling of 2557198512 in words is "two billion, five hundred fifty-seven million, one hundred ninety-eight thousand, five hundred twelve".