2753688960 has 480 divisors, whose sum is σ = 10833807600. Its totient is φ = 666040320.

The previous prime is 2753688953. The next prime is 2753688979. The reversal of 2753688960 is 698863572.

It is a happy number.

2753688960 is a `hidden beast` number, since 27 + 536 + 8 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2753688897 and 2753688906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272421 + ... + 6272859.

Almost surely, 2^2753688960 is an apocalyptic number.

2753688960 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 2753688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416903800).

2753688960 is an abundant number, since it is smaller than the sum of its proper divisors (8080118640).

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

2753688960 is a wasteful number, since it uses less digits than its factorization.

2753688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2753688960 is about 52475.6034743765. The cubic root of 2753688960 is about 1401.6458466895.

The spelling of 2753688960 in words is "two billion, seven hundred fifty-three million, six hundred eighty-eight thousand, nine hundred sixty".