2538072440 has 64 divisors (see below), whose sum is σ = 6069772800. Its totient is φ = 952428672.

The previous prime is 2538072401. The next prime is 2538072473. The reversal of 2538072440 is 442708352.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2538072440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62069 + ... + 94491.

It is an arithmetic number, because the mean of its divisors is an integer number (94840200).

Almost surely, 2^2538072440 is an apocalyptic number.

2538072440 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 2538072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034886400).

2538072440 is an abundant number, since it is smaller than the sum of its proper divisors (3531700360).

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

2538072440 is a wasteful number, since it uses less digits than its factorization.

2538072440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32556 (or 32552 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 2538072440 is about 50379.2858226474. The cubic root of 2538072440 is about 1364.0637606610.

The spelling of 2538072440 in words is "two billion, five hundred thirty-eight million, seventy-two thousand, four hundred forty".