2554642464 has 96 divisors (see below), whose sum is σ = 7424960256. Its totient is φ = 762558720.

The previous prime is 2554642459. The next prime is 2554642469. The reversal of 2554642464 is 4642464552.

It is an interprime number because it is at equal distance from previous prime (2554642459) and next prime (2554642469).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2554642469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52699 + ... + 88805.

It is an arithmetic number, because the mean of its divisors is an integer number (77343336).

Almost surely, 2^2554642464 is an apocalyptic number.

2554642464 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 2554642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712480128).

2554642464 is an abundant number, since it is smaller than the sum of its proper divisors (4870317792).

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

2554642464 is a wasteful number, since it uses less digits than its factorization.

2554642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36198 (or 36190 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The square root of 2554642464 is about 50543.4710323697. The cubic root of 2554642464 is about 1367.0257931758.

The spelling of 2554642464 in words is "two billion, five hundred fifty-four million, six hundred forty-two thousand, four hundred sixty-four".