2554660440 has 96 divisors (see below), whose sum is σ = 8319870000. Its totient is φ = 679829760.

The previous prime is 2554660429. The next prime is 2554660457. The reversal of 2554660440 is 440664552.

2554660440 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 6 + 604 + 40 = 666.

It is a super-4 number, since 4×2554660440⁴ (a number of 39 digits) contains 4444 as substring.

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 = 2554660395 and 2554660404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172530 + ... + 186750.

Almost surely, 2^2554660440 is an apocalyptic number.

2554660440 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 2554660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159935000).

2554660440 is an abundant number, since it is smaller than the sum of its proper divisors (5765209560).

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

2554660440 is a wasteful number, since it uses less digits than its factorization.

2554660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14737 (or 14730 counting only the distinct ones).

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

The square root of 2554660440 is about 50543.6488591791. The cubic root of 2554660440 is about 1367.0289995733.

The spelling of 2554660440 in words is "two billion, five hundred fifty-four million, six hundred sixty thousand, four hundred forty".