2945516910336 has 1296 divisors, whose sum is σ = 12141907464960. Its totient is φ = 664560599040.

The previous prime is 2945516910317. The next prime is 2945516910419. The reversal of 2945516910336 is 6330196155492.

2945516910336 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 516 + 91 + 0 + 3 + 36 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 509690295 + ... + 509696073.

It is an arithmetic number, because the mean of its divisors is an integer number (9368755760).

Almost surely, 2^{2945516910336} is an apocalyptic number.

2945516910336 is a gapful number since it is divisible by the number (26) 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 2945516910336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070953732480).

2945516910336 is an abundant number, since it is smaller than the sum of its proper divisors (9196390554624).

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

2945516910336 is a wasteful number, since it uses less digits than its factorization.

2945516910336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 2945516910336 in words is "two trillion, nine hundred forty-five billion, five hundred sixteen million, nine hundred ten thousand, three hundred thirty-six".