2038062400 has 168 divisors, whose sum is σ = 5600114784. Its totient is φ = 723609600.

The previous prime is 2038062359. The next prime is 2038062409. The reversal of 2038062400 is 42608302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038062409) 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, 755454 + ... + 758146.

Almost surely, 2^2038062400 is an apocalyptic number.

2038062400 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 2038062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800057392).

2038062400 is an abundant number, since it is smaller than the sum of its proper divisors (3562052384).

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

2038062400 is a wasteful number, since it uses less digits than its factorization.

2038062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2038062400 is about 45144.9044743701. The cubic root of 2038062400 is about 1267.8634794820.

The spelling of 2038062400 in words is "two billion, thirty-eight million, sixty-two thousand, four hundred".