2538205440 has 216 divisors, whose sum is σ = 8560173888. Its totient is φ = 640880640.

The previous prime is 2538205433. The next prime is 2538205463. The reversal of 2538205440 is 445028352.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1385325 + ... + 1387155.

Almost surely, 2^2538205440 is an apocalyptic number.

2538205440 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 2538205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280086944).

2538205440 is an abundant number, since it is smaller than the sum of its proper divisors (6021968448).

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

2538205440 is a wasteful number, since it uses less digits than its factorization.

2538205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2538205440 is about 50380.6057923086. The cubic root of 2538205440 is about 1364.0875867883.

The spelling of 2538205440 in words is "two billion, five hundred thirty-eight million, two hundred five thousand, four hundred forty".