2881220400 has 180 divisors, whose sum is σ = 10022184432. Its totient is φ = 766517760.

The previous prime is 2881220389. The next prime is 2881220411. The reversal of 2881220400 is 40221882.

It is an interprime number because it is at equal distance from previous prime (2881220389) and next prime (2881220411).

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2328582 + ... + 2329818.

Almost surely, 2^2881220400 is an apocalyptic number.

2881220400 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 2881220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011092216).

2881220400 is an abundant number, since it is smaller than the sum of its proper divisors (7140964032).

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

2881220400 is a wasteful number, since it uses less digits than its factorization.

2881220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2881220400 is about 53677.0006613633. Note that the first 3 decimals coincide. The cubic root of 2881220400 is about 1422.9582578882.

The spelling of 2881220400 in words is "two billion, eight hundred eighty-one million, two hundred twenty thousand, four hundred".