2949439027392 has 2688 divisors, whose sum is σ = 11768459673600. Its totient is φ = 715309056000.

The previous prime is 2949439027391. The next prime is 2949439027397. The reversal of 2949439027392 is 2937209349492.

2949439027392 is a `hidden beast` number, since 2 + 9 + 4 + 94 + 390 + 2 + 73 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (2949439027391) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41541394717 + ... + 41541394787.

It is an arithmetic number, because the mean of its divisors is an integer number (4378147200).

Almost surely, 2^{2949439027392} is an apocalyptic number.

2949439027392 is a gapful number since it is divisible by the number (22) 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 2949439027392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884229836800).

2949439027392 is an abundant number, since it is smaller than the sum of its proper divisors (8819020646208).

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

2949439027392 is a wasteful number, since it uses less digits than its factorization.

2949439027392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 2949439027392 in words is "two trillion, nine hundred forty-nine billion, four hundred thirty-nine million, twenty-seven thousand, three hundred ninety-two".