2942114918400 has 2808 divisors, whose sum is σ = 13486983444480. Its totient is φ = 632073093120.

The previous prime is 2942114918399. The next prime is 2942114918453. The reversal of 2942114918400 is 48194112492.

2942114918400 is a `hidden beast` number, since 2 + 9 + 42 + 114 + 91 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23166259137 + ... + 23166259263.

Almost surely, 2^{2942114918400} is an apocalyptic number.

2942114918400 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 2942114918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743491722240).

2942114918400 is an abundant number, since it is smaller than the sum of its proper divisors (10544868526080).

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

2942114918400 is a wasteful number, since it uses less digits than its factorization.

2942114918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2942114918400 in words is "two trillion, nine hundred forty-two billion, one hundred fourteen million, nine hundred eighteen thousand, four hundred".