2700764640 has 768 divisors, whose sum is σ = 11581194240. Its totient is φ = 574801920.

The previous prime is 2700764623. The next prime is 2700764657. The reversal of 2700764640 is 464670072.

2700764640 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 7 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2700764623) and next prime (2700764657).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2700764595 and 2700764604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40309887 + ... + 40309953.

It is an arithmetic number, because the mean of its divisors is an integer number (15079680).

Almost surely, 2^2700764640 is an apocalyptic number.

2700764640 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 2700764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790597120).

2700764640 is an abundant number, since it is smaller than the sum of its proper divisors (8880429600).

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

2700764640 is a wasteful number, since it uses less digits than its factorization.

2700764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2700764640 is about 51968.8814580418. The cubic root of 2700764640 is about 1392.6080874727.

The spelling of 2700764640 in words is "two billion, seven hundred million, seven hundred sixty-four thousand, six hundred forty".