2553741432 has 192 divisors, whose sum is σ = 7870262400. Its totient is φ = 769357440.

The previous prime is 2553741431. The next prime is 2553741523. The reversal of 2553741432 is 2341473552.

2553741432 is a `hidden beast` number, since 2 + 553 + 74 + 1 + 4 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553741431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6564694 + ... + 6565082.

It is an arithmetic number, because the mean of its divisors is an integer number (40990950).

Almost surely, 2^2553741432 is an apocalyptic number.

2553741432 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 2553741432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935131200).

2553741432 is an abundant number, since it is smaller than the sum of its proper divisors (5316520968).

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

2553741432 is a wasteful number, since it uses less digits than its factorization.

2553741432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 2553741432 is about 50534.5568101670. The cubic root of 2553741432 is about 1366.8650558981.

The spelling of 2553741432 in words is "two billion, five hundred fifty-three million, seven hundred forty-one thousand, four hundred thirty-two".