2942101440 has 280 divisors, whose sum is σ = 10533156480. Its totient is φ = 779507712.

The previous prime is 2942101427. The next prime is 2942101451. The reversal of 2942101440 is 441012492.

It is a happy number.

2942101440 is a `hidden beast` number, since 2 + 9 + 4 + 210 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5779906 + ... + 5780414.

It is an arithmetic number, because the mean of its divisors is an integer number (37618416).

Almost surely, 2^2942101440 is an apocalyptic number.

2942101440 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 2942101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266578240).

2942101440 is an abundant number, since it is smaller than the sum of its proper divisors (7591055040).

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

2942101440 is a wasteful number, since it uses less digits than its factorization.

2942101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2942101440 is about 54241.1415809070. The cubic root of 2942101440 is about 1432.9109919657.

The spelling of 2942101440 in words is "two billion, nine hundred forty-two million, one hundred one thousand, four hundred forty".