2942097114600 has 960 divisors, whose sum is σ = 11932839642240. Its totient is φ = 657961574400.

The previous prime is 2942097114587. The next prime is 2942097114661. The reversal of 2942097114600 is 64117902492.

2942097114600 is a `hidden beast` number, since 2 + 9 + 4 + 20 + 9 + 7 + 1 + 14 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1084442844 + ... + 1084445556.

It is an arithmetic number, because the mean of its divisors is an integer number (12430041294).

Almost surely, 2^{2942097114600} is an apocalyptic number.

2942097114600 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 2942097114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966419821120).

2942097114600 is an abundant number, since it is smaller than the sum of its proper divisors (8990742527640).

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

2942097114600 is a wasteful number, since it uses less digits than its factorization.

2942097114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2942097114600 in words is "two trillion, nine hundred forty-two billion, ninety-seven million, one hundred fourteen thousand, six hundred".