2553823440 has 240 divisors, whose sum is σ = 10318089600. Its totient is φ = 552987648.

The previous prime is 2553823399. The next prime is 2553823483. The reversal of 2553823440 is 443283552.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2553823395 and 2553823404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82426 + ... + 109094.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 2^2553823440 is an apocalyptic number.

2553823440 is a gapful number since it is divisible by the number (20) 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 2553823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159044800).

2553823440 is an abundant number, since it is smaller than the sum of its proper divisors (7764266160).

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

2553823440 is a wasteful number, since it uses less digits than its factorization.

2553823440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26714 (or 26705 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2553823440 is about 50535.3682088100. The cubic root of 2553823440 is about 1366.8796870674.

The spelling of 2553823440 in words is "two billion, five hundred fifty-three million, eight hundred twenty-three thousand, four hundred forty".