2039696400 has 240 divisors, whose sum is σ = 7642241024. Its totient is φ = 455293440.

The previous prime is 2039696383. The next prime is 2039696401. The reversal of 2039696400 is 46969302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2039696400² = 8320722808345920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2039696401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358377 + ... + 364023.

Almost surely, 2^2039696400 is an apocalyptic number.

2039696400 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 2039696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821120512).

2039696400 is an abundant number, since it is smaller than the sum of its proper divisors (5602544624).

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

2039696400 is a wasteful number, since it uses less digits than its factorization.

2039696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 2039696400 is about 45162.9981289994. The cubic root of 2039696400 is about 1268.2022220574.

The spelling of 2039696400 in words is "two billion, thirty-nine million, six hundred ninety-six thousand, four hundred".