2933221112640 has 3024 divisors, whose sum is σ = 13781998758528. Its totient is φ = 567110025216.

The previous prime is 2933221112617. The next prime is 2933221112651. The reversal of 2933221112640 is 462111223392.

2933221112640 is a `hidden beast` number, since 2 + 9 + 3 + 3 + 2 + 2 + 1 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2933221112595 and 2933221112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28477874829 + ... + 28477874931.

It is an arithmetic number, because the mean of its divisors is an integer number (4557539272).

Almost surely, 2^{2933221112640} is an apocalyptic number.

2933221112640 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 2933221112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890999379264).

2933221112640 is an abundant number, since it is smaller than the sum of its proper divisors (10848777645888).

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

2933221112640 is a wasteful number, since it uses less digits than its factorization.

2933221112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2933221112640 in words is "two trillion, nine hundred thirty-three billion, two hundred twenty-one million, one hundred twelve thousand, six hundred forty".