2038370400 has 576 divisors, whose sum is σ = 8414461440. Its totient is φ = 471398400.

The previous prime is 2038370393. The next prime is 2038370417. The reversal of 2038370400 is 40738302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5464614 + ... + 5464986.

It is an arithmetic number, because the mean of its divisors is an integer number (14608440).

Almost surely, 2^2038370400 is an apocalyptic number.

2038370400 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 2038370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207230720).

2038370400 is an abundant number, since it is smaller than the sum of its proper divisors (6376091040).

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

2038370400 is a wasteful number, since it uses less digits than its factorization.

2038370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2038370400 is about 45148.3155831976. The cubic root of 2038370400 is about 1267.9273444356.

The spelling of 2038370400 in words is "two billion, thirty-eight million, three hundred seventy thousand, four hundred".