2556351450 has 288 divisors, whose sum is σ = 7520947200. Its totient is φ = 620928000.

The previous prime is 2556351443. The next prime is 2556351451. The reversal of 2556351450 is 541536552.

2556351450 is a `hidden beast` number, since 2 + 5 + 5 + 635 + 14 + 5 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2556351451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28723006 + ... + 28723094.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2^2556351450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556351450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760473600).

2556351450 is an abundant number, since it is smaller than the sum of its proper divisors (4964595750).

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

2556351450 is a wasteful number, since it uses less digits than its factorization.

2556351450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2556351450 is about 50560.3743063676. The cubic root of 2556351450 is about 1367.3305595258.

It can be divided in two parts, 2556351 and 450, that added together give a square (2556801 = 1599²).

The spelling of 2556351450 in words is "two billion, five hundred fifty-six million, three hundred fifty-one thousand, four hundred fifty".