2038658400 has 216 divisors, whose sum is σ = 7261254000. Its totient is φ = 538168320.

The previous prime is 2038658389. The next prime is 2038658407. The reversal of 2038658400 is 48568302.

It is a super-2 number, since 2×2038658400² = 8312256143781120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038658407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 740226 + ... + 742974.

Almost surely, 2^2038658400 is an apocalyptic number.

2038658400 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 2038658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630627000).

2038658400 is an abundant number, since it is smaller than the sum of its proper divisors (5222595600).

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

2038658400 is a wasteful number, since it uses less digits than its factorization.

2038658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2862 counting only the distinct ones).

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

The square root of 2038658400 is about 45151.5049583068. The cubic root of 2038658400 is about 1267.9870564943.

The spelling of 2038658400 in words is "two billion, thirty-eight million, six hundred fifty-eight thousand, four hundred".