2554332000 has 384 divisors, whose sum is σ = 9393366528. Its totient is φ = 601344000.

The previous prime is 2554331981. The next prime is 2554332019. The reversal of 2554332000 is 2334552.

It is an interprime number because it is at equal distance from previous prime (2554331981) and next prime (2554332019).

It is a super-2 number, since 2×2554332000² = 13049223932448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4883739 + ... + 4884261.

It is an arithmetic number, because the mean of its divisors is an integer number (24461892).

Almost surely, 2^2554332000 is an apocalyptic number.

2554332000 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 2554332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696683264).

2554332000 is an abundant number, since it is smaller than the sum of its proper divisors (6839034528).

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

2554332000 is a wasteful number, since it uses less digits than its factorization.

2554332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2554332000 is about 50540.3996818387. The cubic root of 2554332000 is about 1366.9704130204.

Adding to 2554332000 its reverse (2334552), we get a palindrome (2556666552).

The spelling of 2554332000 in words is "two billion, five hundred fifty-four million, three hundred thirty-two thousand".