2752813440 has 384 divisors, whose sum is σ = 10369850400. Its totient is φ = 668860416.

The previous prime is 2752813439. The next prime is 2752813457. The reversal of 2752813440 is 443182572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2752813395 and 2752813404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7263171 + ... + 7263549.

Almost surely, 2^2752813440 is an apocalyptic number.

2752813440 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 2752813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184925200).

2752813440 is an abundant number, since it is smaller than the sum of its proper divisors (7617036960).

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

2752813440 is a wasteful number, since it uses less digits than its factorization.

2752813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

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

The square root of 2752813440 is about 52467.2606489037. The cubic root of 2752813440 is about 1401.4972824580.

The spelling of 2752813440 in words is "two billion, seven hundred fifty-two million, eight hundred thirteen thousand, four hundred forty".