1996262400 has 528 divisors, whose sum is σ = 7675758720. Its totient is φ = 452198400.

The previous prime is 1996262399. The next prime is 1996262419. The reversal of 1996262400 is 42626991.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14361531 + ... + 14361669.

Almost surely, 2^1996262400 is an apocalyptic number.

1996262400 is a gapful number since it is divisible by the number (10) 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 1996262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837879360).

1996262400 is an abundant number, since it is smaller than the sum of its proper divisors (5679496320).

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

1996262400 is a wasteful number, since it uses less digits than its factorization.

1996262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1996262400 is about 44679.5523701838. The cubic root of 1996262400 is about 1259.1357136601.

The spelling of 1996262400 in words is "one billion, nine hundred ninety-six million, two hundred sixty-two thousand, four hundred".