2552172192 has 192 divisors, whose sum is σ = 8051581440. Its totient is φ = 783433728.

The previous prime is 2552172191. The next prime is 2552172193. The reversal of 2552172192 is 2912712552.

2552172192 is a `hidden beast` number, since 2 + 552 + 17 + 2 + 1 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (2552172191) and next prime (2552172193).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2552172191) 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 31 ways as a sum of consecutive naturals, for example, 688488 + ... + 692184.

It is an arithmetic number, because the mean of its divisors is an integer number (41935320).

Almost surely, 2^2552172192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552172192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025790720).

2552172192 is an abundant number, since it is smaller than the sum of its proper divisors (5499409248).

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

2552172192 is a wasteful number, since it uses less digits than its factorization.

2552172192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3766 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 2552172192 is about 50519.0280191533. The cubic root of 2552172192 is about 1366.5850250919.

The spelling of 2552172192 in words is "two billion, five hundred fifty-two million, one hundred seventy-two thousand, one hundred ninety-two".