2077450760 has 256 divisors, whose sum is σ = 6051594240. Its totient is φ = 623185920.

The previous prime is 2077450759. The next prime is 2077450819. The reversal of 2077450760 is 670547702.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16357817 + ... + 16357943.

It is an arithmetic number, because the mean of its divisors is an integer number (23639040).

Almost surely, 2^2077450760 is an apocalyptic number.

2077450760 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 2077450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025797120).

2077450760 is an abundant number, since it is smaller than the sum of its proper divisors (3974143480).

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

2077450760 is a wasteful number, since it uses less digits than its factorization.

2077450760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 2077450760 is about 45579.0605431924. The cubic root of 2077450760 is about 1275.9791550661.

The spelling of 2077450760 in words is "two billion, seventy-seven million, four hundred fifty thousand, seven hundred sixty".