2554416432 has 160 divisors (see below), whose sum is σ = 7684508160. Its totient is φ = 810881280.

The previous prime is 2554416421. The next prime is 2554416433. The reversal of 2554416432 is 2346144552.

2554416432 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 4 + 1 + 643 + 2 = 666.

It is a super-2 number, since 2×2554416432² = 13050086616143221248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2554416433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3149307 + ... + 3150117.

It is an arithmetic number, because the mean of its divisors is an integer number (48028176).

Almost surely, 2^2554416432 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 2554416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842254080).

2554416432 is an abundant number, since it is smaller than the sum of its proper divisors (5130091728).

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

2554416432 is a wasteful number, since it uses less digits than its factorization.

2554416432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1156 counting only the distinct ones).

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

The square root of 2554416432 is about 50541.2349671038. The cubic root of 2554416432 is about 1366.9854743325.

The spelling of 2554416432 in words is "two billion, five hundred fifty-four million, four hundred sixteen thousand, four hundred thirty-two".