2933680412160 has 640 divisors, whose sum is σ = 10520198092800. Its totient is φ = 774887178240.

The previous prime is 2933680412149. The next prime is 2933680412207. The reversal of 2933680412160 is 612140863392.

2933680412160 is a `hidden beast` number, since 2 + 93 + 368 + 0 + 41 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4245557415 + ... + 4245558105.

It is an arithmetic number, because the mean of its divisors is an integer number (16437809520).

Almost surely, 2^{2933680412160} is an apocalyptic number.

2933680412160 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 2933680412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260099046400).

2933680412160 is an abundant number, since it is smaller than the sum of its proper divisors (7586517680640).

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

2933680412160 is a wasteful number, since it uses less digits than its factorization.

2933680412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2933680412160 in words is "two trillion, nine hundred thirty-three billion, six hundred eighty million, four hundred twelve thousand, one hundred sixty".