2997066096640 has 672 divisors, whose sum is σ = 9160945807104. Its totient is φ = 914270453760.

The previous prime is 2997066096613. The next prime is 2997066096653. The reversal of 2997066096640 is 466906607992.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28009963467 + ... + 28009963573.

It is an arithmetic number, because the mean of its divisors is an integer number (13632359832).

Almost surely, 2^{2997066096640} is an apocalyptic number.

2997066096640 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 2997066096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580472903552).

2997066096640 is an abundant number, since it is smaller than the sum of its proper divisors (6163879710464).

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

2997066096640 is an equidigital number, since it uses as much as digits as its factorization.

2997066096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

The spelling of 2997066096640 in words is "two trillion, nine hundred ninety-seven billion, sixty-six million, ninety-six thousand, six hundred forty".