2752888320 has 720 divisors, whose sum is σ = 11915478432. Its totient is φ = 575078400.

The previous prime is 2752888301. The next prime is 2752888339. The reversal of 2752888320 is 238882572.

2752888320 is a `hidden beast` number, since 27 + 528 + 8 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2752888301) and next prime (2752888339).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27256270 + ... + 27256370.

Almost surely, 2^2752888320 is an apocalyptic number.

2752888320 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 2752888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957739216).

2752888320 is an abundant number, since it is smaller than the sum of its proper divisors (9162590112).

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

2752888320 is a wasteful number, since it uses less digits than its factorization.

2752888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2752888320 is about 52467.9742319065. The cubic root of 2752888320 is about 1401.5099898412.

The spelling of 2752888320 in words is "two billion, seven hundred fifty-two million, eight hundred eighty-eight thousand, three hundred twenty".