2942121600 has 576 divisors, whose sum is σ = 11808931680. Its totient is φ = 691200000.

The previous prime is 2942121593. The next prime is 2942121629. The reversal of 2942121600 is 61212492.

2942121600 is a `hidden beast` number, since 2 + 9 + 42 + 12 + 1 + 600 = 666.

2942121600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11721475 + ... + 11721725.

Almost surely, 2^2942121600 is an apocalyptic number.

2942121600 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 2942121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904465840).

2942121600 is an abundant number, since it is smaller than the sum of its proper divisors (8866810080).

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

2942121600 is a wasteful number, since it uses less digits than its factorization.

2942121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2942121600 is about 54241.3274173854. The cubic root of 2942121600 is about 1432.9142648440.

The spelling of 2942121600 in words is "two billion, nine hundred forty-two million, one hundred twenty-one thousand, six hundred".