2939248752000 has 768 divisors, whose sum is σ = 11176074524160. Its totient is φ = 681533952000.

The previous prime is 2939248751993. The next prime is 2939248752017. The reversal of 2939248752000 is 2578429392.

It is a super-2 number, since 2×2939248752000² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 133572999 + ... + 133595001.

It is an arithmetic number, because the mean of its divisors is an integer number (14552180370).

Almost surely, 2^{2939248752000} is an apocalyptic number.

2939248752000 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 2939248752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588037262080).

2939248752000 is an abundant number, since it is smaller than the sum of its proper divisors (8236825772160).

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

2939248752000 is a wasteful number, since it uses less digits than its factorization.

2939248752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22080 (or 22047 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2939248752000 in words is "two trillion, nine hundred thirty-nine billion, two hundred forty-eight million, seven hundred fifty-two thousand".