2553512192 has 144 divisors (see below), whose sum is σ = 6391211904. Its totient is φ = 989184000.

The previous prime is 2553512177. The next prime is 2553512207. The reversal of 2553512192 is 2912153552.

It is an interprime number because it is at equal distance from previous prime (2553512177) and next prime (2553512207).

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, 5538842 + ... + 5539302.

It is an arithmetic number, because the mean of its divisors is an integer number (44383416).

Almost surely, 2^2553512192 is an apocalyptic number.

2553512192 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 2553512192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195605952).

2553512192 is an abundant number, since it is smaller than the sum of its proper divisors (3837699712).

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

2553512192 is a wasteful number, since it uses less digits than its factorization.

2553512192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its digits is 27000, while the sum is 35.

The square root of 2553512192 is about 50532.2886083740. The cubic root of 2553512192 is about 1366.8241551870.

The spelling of 2553512192 in words is "two billion, five hundred fifty-three million, five hundred twelve thousand, one hundred ninety-two".