2551408128 has 240 divisors, whose sum is σ = 7767467136. Its totient is φ = 805109760.

The previous prime is 2551408121. The next prime is 2551408133. The reversal of 2551408128 is 8218041552.

2551408128 is a `hidden beast` number, since 2 + 551 + 4 + 0 + 81 + 28 = 666.

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 = 2551408092 and 2551408101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551408121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7570776 + ... + 7571112.

Almost surely, 2^2551408128 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 2551408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883733568).

2551408128 is an abundant number, since it is smaller than the sum of its proper divisors (5216059008).

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

2551408128 is a wasteful number, since it uses less digits than its factorization.

2551408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2551408128 is about 50511.4653123427. The cubic root of 2551408128 is about 1366.4486363534.

The spelling of 2551408128 in words is "two billion, five hundred fifty-one million, four hundred eight thousand, one hundred twenty-eight".