2945160247680 has 1152 divisors, whose sum is σ = 12428764545600. Its totient is φ = 628759756800.

The previous prime is 2945160247657. The next prime is 2945160247699. The reversal of 2945160247680 is 867420615492.

2945160247680 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 160 + 2 + 476 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1123676770 + ... + 1123679390.

Almost surely, 2^{2945160247680} is an apocalyptic number.

2945160247680 is a gapful number since it is divisible by the number (20) 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 2945160247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214382272800).

2945160247680 is an abundant number, since it is smaller than the sum of its proper divisors (9483604297920).

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

2945160247680 is a wasteful number, since it uses less digits than its factorization.

2945160247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2945160247680 in words is "two trillion, nine hundred forty-five billion, one hundred sixty million, two hundred forty-seven thousand, six hundred eighty".