2538086400 has 588 divisors, whose sum is σ = 9991893402. Its totient is φ = 637009920.

The previous prime is 2538086399. The next prime is 2538086461. The reversal of 2538086400 is 46808352.

2538086400 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 0 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2176782336 + 361304064 = 46656^2 + 19008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 149299192 + ... + 149299208.

Almost surely, 2^2538086400 is an apocalyptic number.

2538086400 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 2538086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995946701).

2538086400 is an abundant number, since it is smaller than the sum of its proper divisors (7453807002).

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

2538086400 is an frugal number, since it uses more digits than its factorization.

2538086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2538086400 is about 50379.4243714634. The cubic root of 2538086400 is about 1364.0662615477.

The spelling of 2538086400 in words is "two billion, five hundred thirty-eight million, eighty-six thousand, four hundred".