2554136064 has 160 divisors (see below), whose sum is σ = 7657114080. Its totient is φ = 851005440.

The previous prime is 2554135999. The next prime is 2554136071. The reversal of 2554136064 is 4606314552.

2554136064 is a `hidden beast` number, since 2 + 5 + 5 + 41 + 3 + 606 + 4 = 666.

It is a super-2 number, since 2×2554136064² = 13047222066850824192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118604 + ... + 1120884.

It is an arithmetic number, because the mean of its divisors is an integer number (47856963).

Almost surely, 2^2554136064 is an apocalyptic number.

2554136064 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 2554136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828557040).

2554136064 is an abundant number, since it is smaller than the sum of its proper divisors (5102978016).

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

2554136064 is an frugal number, since it uses more digits than its factorization.

2554136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2554136064 is about 50538.4612349842. The cubic root of 2554136064 is about 1366.9354599076.

The spelling of 2554136064 in words is "two billion, five hundred fifty-four million, one hundred thirty-six thousand, sixty-four".