2038920264 has 96 divisors (see below), whose sum is σ = 5582584800. Its totient is φ = 672241920.

The previous prime is 2038920241. The next prime is 2038920269. The reversal of 2038920264 is 4620298302.

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

It is not an unprimeable number, because it can be changed into a prime (2038920269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3621247 + ... + 3621809.

It is an arithmetic number, because the mean of its divisors is an integer number (58151925).

Almost surely, 2^2038920264 is an apocalyptic number.

2038920264 is a gapful number since it is divisible by the number (24) 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 2038920264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791292400).

2038920264 is an abundant number, since it is smaller than the sum of its proper divisors (3543664536).

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

2038920264 is a wasteful number, since it uses less digits than its factorization.

2038920264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2038920264 is about 45154.4047020886. The cubic root of 2038920264 is about 1268.0413448025.

It can be divided in two parts, 2038920 and 264, that added together give a square (2039184 = 1428²).

The spelling of 2038920264 in words is "two billion, thirty-eight million, nine hundred twenty thousand, two hundred sixty-four".