2942910144 has 280 divisors, whose sum is σ = 9132915440. Its totient is φ = 936105984.

The previous prime is 2942910109. The next prime is 2942910163. The reversal of 2942910144 is 4410192492.

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

It is a junction number, because it is equal to n+sod(n) for n = 2942910099 and 2942910108.

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 39 ways as a sum of consecutive naturals, for example, 12851022 + ... + 12851250.

Almost surely, 2^2942910144 is an apocalyptic number.

2942910144 is a gapful number since it is divisible by the number (24) 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 2942910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566457720).

2942910144 is an abundant number, since it is smaller than the sum of its proper divisors (6190005296).

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

2942910144 is a wasteful number, since it uses less digits than its factorization.

2942910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2942910144 is about 54248.5957790614. The cubic root of 2942910144 is about 1433.0422694122.

The spelling of 2942910144 in words is "two billion, nine hundred forty-two million, nine hundred ten thousand, one hundred forty-four".