2553211584 has 448 divisors, whose sum is σ = 9675571200. Its totient is φ = 640742400.

The previous prime is 2553211579. The next prime is 2553211601. The reversal of 2553211584 is 4851123552.

2553211584 is a `hidden beast` number, since 2 + 5 + 53 + 21 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4124427 + ... + 4125045.

Almost surely, 2^2553211584 is an apocalyptic number.

2553211584 is a gapful number since it is divisible by the number (24) 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 2553211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837785600).

2553211584 is an abundant number, since it is smaller than the sum of its proper divisors (7122359616).

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

2553211584 is a wasteful number, since it uses less digits than its factorization.

2553211584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 2553211584 is about 50529.3141057743. The cubic root of 2553211584 is about 1366.7705173777.

The spelling of 2553211584 in words is "two billion, five hundred fifty-three million, two hundred eleven thousand, five hundred eighty-four".