2554536000 has 224 divisors, whose sum is σ = 8499823488. Its totient is φ = 675993600.

The previous prime is 2554535999. The next prime is 2554536043. The reversal of 2554536000 is 6354552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3911674 + ... + 3912326.

Almost surely, 2^2554536000 is an apocalyptic number.

2554536000 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 2554536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249911744).

2554536000 is an abundant number, since it is smaller than the sum of its proper divisors (5945287488).

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

2554536000 is a wasteful number, since it uses less digits than its factorization.

2554536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2554536000 is about 50542.4178289880. The cubic root of 2554536000 is about 1367.0068027746.

The spelling of 2554536000 in words is "two billion, five hundred fifty-four million, five hundred thirty-six thousand".