2934740761344 has 720 divisors, whose sum is σ = 10157299891200. Its totient is φ = 825481248768.

The previous prime is 2934740761289. The next prime is 2934740761367. The reversal of 2934740761344 is 4431670474392.

It is a happy number.

2934740761344 is a `hidden beast` number, since 2 + 93 + 474 + 0 + 76 + 13 + 4 + 4 = 666.

It is a super-2 number, since 2×2934740761344² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4741099467 + ... + 4741100085.

It is an arithmetic number, because the mean of its divisors is an integer number (14107360960).

Almost surely, 2^{2934740761344} is an apocalyptic number.

2934740761344 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 2934740761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078649945600).

2934740761344 is an abundant number, since it is smaller than the sum of its proper divisors (7222559129856).

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

2934740761344 is an equidigital number, since it uses as much as digits as its factorization.

2934740761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2934740761344 in words is "two trillion, nine hundred thirty-four billion, seven hundred forty million, seven hundred sixty-one thousand, three hundred forty-four".