2039242800 has 360 divisors, whose sum is σ = 7712601600. Its totient is φ = 459164160.

The previous prime is 2039242727. The next prime is 2039242831. The reversal of 2039242800 is 82429302.

It is a super-2 number, since 2×2039242800² = 8317022394703680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4644981 + ... + 4645419.

Almost surely, 2^2039242800 is an apocalyptic number.

2039242800 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 2039242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856300800).

2039242800 is an abundant number, since it is smaller than the sum of its proper divisors (5673358800).

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

2039242800 is a wasteful number, since it uses less digits than its factorization.

2039242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2039242800 is about 45157.9760396765. The cubic root of 2039242800 is about 1268.1082049321.

The spelling of 2039242800 in words is "two billion, thirty-nine million, two hundred forty-two thousand, eight hundred".