2760404640 has 192 divisors, whose sum is σ = 9976006656. Its totient is φ = 628503552.

The previous prime is 2760404609. The next prime is 2760404653. The reversal of 2760404640 is 464040672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949429 + ... + 952331.

It is an arithmetic number, because the mean of its divisors is an integer number (51958368).

Almost surely, 2^2760404640 is an apocalyptic number.

2760404640 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 2760404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988003328).

2760404640 is an abundant number, since it is smaller than the sum of its proper divisors (7215602016).

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

2760404640 is a wasteful number, since it uses less digits than its factorization.

2760404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2760404640 is about 52539.5531004975. The cubic root of 2760404640 is about 1402.7843634623.

The spelling of 2760404640 in words is "two billion, seven hundred sixty million, four hundred four thousand, six hundred forty".