2102997600000 has 1728 divisors, whose sum is σ = 8691553704960. Its totient is φ = 497203200000.

The previous prime is 2102997599999. The next prime is 2102997600079. The reversal of 2102997600000 is 67992012.

2102997600000 is a `hidden beast` number, since 21 + 0 + 29 + 9 + 7 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12592799917 + ... + 12592800083.

It is an arithmetic number, because the mean of its divisors is an integer number (5029834320).

Almost surely, 2^{2102997600000} is an apocalyptic number.

2102997600000 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 2102997600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345776852480).

2102997600000 is an abundant number, since it is smaller than the sum of its proper divisors (6588556104960).

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

2102997600000 is an equidigital number, since it uses as much as digits as its factorization.

2102997600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 2102997600000 in words is "two trillion, one hundred two billion, nine hundred ninety-seven million, six hundred thousand".