2753412480 has 1024 divisors, whose sum is σ = 12831436800. Its totient is φ = 541458432.

The previous prime is 2753412469. The next prime is 2753412499. The reversal of 2753412480 is 842143572.

It is a happy number.

2753412480 is a `hidden beast` number, since 2 + 75 + 341 + 248 + 0 = 666.

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

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, 26732109 + ... + 26732211.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^2753412480 is an apocalyptic number.

2753412480 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 2753412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

2753412480 is an abundant number, since it is smaller than the sum of its proper divisors (10078024320).

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

2753412480 is a wasteful number, since it uses less digits than its factorization.

2753412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2753412480 is about 52472.9690412121. The cubic root of 2753412480 is about 1401.5989350714.

The spelling of 2753412480 in words is "two billion, seven hundred fifty-three million, four hundred twelve thousand, four hundred eighty".