2038437240 has 384 divisors, whose sum is σ = 7517214720. Its totient is φ = 440294400.

The previous prime is 2038437229. The next prime is 2038437251. The reversal of 2038437240 is 427348302.

It is an interprime number because it is at equal distance from previous prime (2038437229) and next prime (2038437251).

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 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 95 ways as a sum of consecutive naturals, for example, 9660735 + ... + 9660945.

It is an arithmetic number, because the mean of its divisors is an integer number (19576080).

Almost surely, 2^2038437240 is an apocalyptic number.

2038437240 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 2038437240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758607360).

2038437240 is an abundant number, since it is smaller than the sum of its proper divisors (5478777480).

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

2038437240 is a wasteful number, since it uses less digits than its factorization.

2038437240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2038437240 is about 45149.0558040808. The cubic root of 2038437240 is about 1267.9412031104.

The spelling of 2038437240 in words is "two billion, thirty-eight million, four hundred thirty-seven thousand, two hundred forty".