2945982265344 has 1344 divisors, whose sum is σ = 10151193780000. Its totient is φ = 848497213440.

The previous prime is 2945982265337. The next prime is 2945982265379. The reversal of 2945982265344 is 4435622895492.

2945982265344 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 98 + 2 + 2 + 6 + 534 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19771692982 + ... + 19771693130.

Almost surely, 2^{2945982265344} is an apocalyptic number.

2945982265344 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 2945982265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075596890000).

2945982265344 is an abundant number, since it is smaller than the sum of its proper divisors (7205211514656).

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

2945982265344 is a wasteful number, since it uses less digits than its factorization.

2945982265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 231 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 2945982265344 in words is "two trillion, nine hundred forty-five billion, nine hundred eighty-two million, two hundred sixty-five thousand, three hundred forty-four".