2038682520 has 576 divisors, whose sum is σ = 8387608320. Its totient is φ = 436140288.

The previous prime is 2038682479. The next prime is 2038682537. The reversal of 2038682520 is 252868302.

2038682520 is a `hidden beast` number, since 20 + 38 + 6 + 82 + 520 = 666.

2038682520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24562399 + ... + 24562481.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 2^2038682520 is an apocalyptic number.

2038682520 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 2038682520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193804160).

2038682520 is an abundant number, since it is smaller than the sum of its proper divisors (6348925800).

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

2038682520 is a wasteful number, since it uses less digits than its factorization.

2038682520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2038682520 is about 45151.7720582482. The cubic root of 2038682520 is about 1267.9920571240.

The spelling of 2038682520 in words is "two billion, thirty-eight million, six hundred eighty-two thousand, five hundred twenty".