2753455680 has 280 divisors, whose sum is σ = 10311871680. Its totient is φ = 695485440.

The previous prime is 2753455669. The next prime is 2753455703. The reversal of 2753455680 is 865543572.

2753455680 is a `hidden beast` number, since 2 + 7 + 534 + 55 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 489685 + ... + 495275.

Almost surely, 2^2753455680 is an apocalyptic number.

2753455680 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 2753455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155935840).

2753455680 is an abundant number, since it is smaller than the sum of its proper divisors (7558416000).

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

2753455680 is a wasteful number, since it uses less digits than its factorization.

2753455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2753455680 is about 52473.3806801125. The cubic root of 2753455680 is about 1401.6062652188.

The spelling of 2753455680 in words is "two billion, seven hundred fifty-three million, four hundred fifty-five thousand, six hundred eighty".