2088878400 has 1008 divisors, whose sum is σ = 9551602944. Its totient is φ = 421724160.

The previous prime is 2088878369. The next prime is 2088878431. The reversal of 2088878400 is 48788802.

It is an interprime number because it is at equal distance from previous prime (2088878369) and next prime (2088878431).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39412774 + ... + 39412826.

Almost surely, 2^2088878400 is an apocalyptic number.

2088878400 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 2088878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775801472).

2088878400 is an abundant number, since it is smaller than the sum of its proper divisors (7462724544).

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

2088878400 is a wasteful number, since it uses less digits than its factorization.

2088878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2088878400 is about 45704.2492554029. The cubic root of 2088878400 is about 1278.3145133189.

The spelling of 2088878400 in words is "two billion, eighty-eight million, eight hundred seventy-eight thousand, four hundred".