2538432000 has 640 divisors, whose sum is σ = 10188097920. Its totient is φ = 619315200.

The previous prime is 2538431981. The next prime is 2538432019. The reversal of 2538432000 is 2348352.

It is an interprime number because it is at equal distance from previous prime (2538431981) and next prime (2538432019).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22463944 + ... + 22464056.

It is an arithmetic number, because the mean of its divisors is an integer number (15918903).

Almost surely, 2^2538432000 is an apocalyptic number.

2538432000 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 2538432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

2538432000 is an abundant number, since it is smaller than the sum of its proper divisors (7649665920).

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

2538432000 is a wasteful number, since it uses less digits than its factorization.

2538432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2538432000 is about 50382.8542264132. The cubic root of 2538432000 is about 1364.1281716945.

The spelling of 2538432000 in words is "two billion, five hundred thirty-eight million, four hundred thirty-two thousand".