2991605760 has 576 divisors, whose sum is σ = 12234680640. Its totient is φ = 666501120.

The previous prime is 2991605681. The next prime is 2991605767. The reversal of 2991605760 is 675061992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2991605767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13178767 + ... + 13178993.

It is an arithmetic number, because the mean of its divisors is an integer number (21240765).

Almost surely, 2^2991605760 is an apocalyptic number.

2991605760 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 2991605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117340320).

2991605760 is an abundant number, since it is smaller than the sum of its proper divisors (9243074880).

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

2991605760 is a wasteful number, since it uses less digits than its factorization.

2991605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2991605760 is about 54695.5734954850. The cubic root of 2991605760 is about 1440.9031371570.

The spelling of 2991605760 in words is "two billion, nine hundred ninety-one million, six hundred five thousand, seven hundred sixty".