2088400896 has 144 divisors (see below), whose sum is σ = 6241271400. Its totient is φ = 671956992.

The previous prime is 2088400891. The next prime is 2088400907. The reversal of 2088400896 is 6980048802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2088400896² = 8722836604827205632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088400891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532575 + ... + 536481.

Almost surely, 2^2088400896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120635700).

2088400896 is an abundant number, since it is smaller than the sum of its proper divisors (4152870504).

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

2088400896 is a wasteful number, since it uses less digits than its factorization.

2088400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2088400896 is about 45699.0251099517. The cubic root of 2088400896 is about 1278.2171011047.

The spelling of 2088400896 in words is "two billion, eighty-eight million, four hundred thousand, eight hundred ninety-six".