2102992588800 has 1248 divisors, whose sum is σ = 8279693458560. Its totient is φ = 521404416000.

The previous prime is 2102992588789. The next prime is 2102992588811. The reversal of 2102992588800 is 88852992012.

It is a happy number.

2102992588800 is a `hidden beast` number, since 21 + 0 + 299 + 258 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2102992588789) and next prime (2102992588811).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4747161379 + ... + 4747161821.

Almost surely, 2^{2102992588800} is an apocalyptic number.

2102992588800 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 2102992588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139846729280).

2102992588800 is an abundant number, since it is smaller than the sum of its proper divisors (6176700869760).

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

2102992588800 is a wasteful number, since it uses less digits than its factorization.

2102992588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 2102992588800 in words is "two trillion, one hundred two billion, nine hundred ninety-two million, five hundred eighty-eight thousand, eight hundred".