2888398800 has 360 divisors, whose sum is σ = 11649472640. Its totient is φ = 649036800.

The previous prime is 2888398789. The next prime is 2888398813. The reversal of 2888398800 is 88938882.

2888398800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1536261 + ... + 1538139.

Almost surely, 2^2888398800 is an apocalyptic number.

2888398800 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 2888398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824736320).

2888398800 is an abundant number, since it is smaller than the sum of its proper divisors (8761073840).

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

2888398800 is a wasteful number, since it uses less digits than its factorization.

2888398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2888398800 is about 53743.8256918876. The cubic root of 2888398800 is about 1424.1390182210.

The spelling of 2888398800 in words is "two billion, eight hundred eighty-eight million, three hundred ninety-eight thousand, eight hundred".