2999533680 has 720 divisors, whose sum is σ = 12488950656. Its totient is φ = 663137280.

The previous prime is 2999533679. The next prime is 2999533687. The reversal of 2999533680 is 863359992.

2999533680 is a `hidden beast` number, since 29 + 9 + 9 + 533 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2999533687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36138919 + ... + 36139001.

Almost surely, 2^2999533680 is an apocalyptic number.

2999533680 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 2999533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244475328).

2999533680 is an abundant number, since it is smaller than the sum of its proper divisors (9489416976).

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

2999533680 is a wasteful number, since it uses less digits than its factorization.

2999533680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 2999533680 is about 54767.9986853637. The cubic root of 2999533680 is about 1442.1748386774.

The spelling of 2999533680 in words is "two billion, nine hundred ninety-nine million, five hundred thirty-three thousand, six hundred eighty".