2941997202720 has 480 divisors, whose sum is σ = 10627792914816. Its totient is φ = 766228377600.

The previous prime is 2941997202673. The next prime is 2941997202721. The reversal of 2941997202720 is 272027991492.

2941997202720 is a `hidden beast` number, since 294 + 19 + 9 + 72 + 0 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2941997202721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98442180 + ... + 98472060.

Almost surely, 2^{2941997202720} is an apocalyptic number.

2941997202720 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 2941997202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313896457408).

2941997202720 is an abundant number, since it is smaller than the sum of its proper divisors (7685795712096).

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

2941997202720 is a wasteful number, since it uses less digits than its factorization.

2941997202720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30086 (or 30069 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 2941997202720 in words is "two trillion, nine hundred forty-one billion, nine hundred ninety-seven million, two hundred two thousand, seven hundred twenty".