2942632938240 has 288 divisors, whose sum is σ = 10444963784640. Its totient is φ = 784498950144.

The previous prime is 2942632938199. The next prime is 2942632938241. The reversal of 2942632938240 is 428392362492.

2942632938240 is a `hidden beast` number, since 2 + 9 + 42 + 6 + 329 + 38 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2942632938241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 172549554 + ... + 172566606.

Almost surely, 2^{2942632938240} is an apocalyptic number.

2942632938240 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 2942632938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222481892320).

2942632938240 is an abundant number, since it is smaller than the sum of its proper divisors (7502330846400).

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

2942632938240 is a wasteful number, since it uses less digits than its factorization.

2942632938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22056 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2942632938240 in words is "two trillion, nine hundred forty-two billion, six hundred thirty-two million, nine hundred thirty-eight thousand, two hundred forty".