2940716587344 has 320 divisors, whose sum is σ = 8101641461760. Its totient is φ = 917279700480.

The previous prime is 2940716587331. The next prime is 2940716587349. The reversal of 2940716587344 is 4437856170492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940716587349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4750753467 + ... + 4750754085.

It is an arithmetic number, because the mean of its divisors is an integer number (25317629568).

It is a 1-persistent number, because it is pandigital, but 2⋅2940716587344 = 5881433174688 is not.

Almost surely, 2^{2940716587344} is an apocalyptic number.

2940716587344 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 2940716587344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050820730880).

2940716587344 is an abundant number, since it is smaller than the sum of its proper divisors (5160924874416).

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

2940716587344 is a wasteful number, since it uses less digits than its factorization.

2940716587344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 2940716587344 in words is "two trillion, nine hundred forty billion, seven hundred sixteen million, five hundred eighty-seven thousand, three hundred forty-four".