2088997000800 has 288 divisors, whose sum is σ = 7145879634432. Its totient is φ = 529404180480.

The previous prime is 2088997000781. The next prime is 2088997000807. The reversal of 2088997000800 is 80007998802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088997000807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544857 + ... + 4091943.

It is an arithmetic number, because the mean of its divisors is an integer number (24812082064).

Almost surely, 2^{2088997000800} is an apocalyptic number.

2088997000800 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 2088997000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572939817216).

2088997000800 is an abundant number, since it is smaller than the sum of its proper divisors (5056882633632).

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

2088997000800 is a wasteful number, since it uses less digits than its factorization.

2088997000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547190 (or 547177 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 2088997000800 in words is "two trillion, eighty-eight billion, nine hundred ninety-seven million, eight hundred", and thus it is an aban number.