2752812000 has 384 divisors, whose sum is σ = 10189670400. Its totient is φ = 721728000.

The previous prime is 2752811987. The next prime is 2752812011. The reversal of 2752812000 is 2182572.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7667821 + ... + 7668179.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^2752812000 is an apocalyptic number.

2752812000 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 2752812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2752812000 is an abundant number, since it is smaller than the sum of its proper divisors (7436858400).

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

2752812000 is a wasteful number, since it uses less digits than its factorization.

2752812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2752812000 is about 52467.2469260585. The cubic root of 2752812000 is about 1401.4970380830.

Adding to 2752812000 its reverse (2182572), we get a palindrome (2754994572).

The spelling of 2752812000 in words is "two billion, seven hundred fifty-two million, eight hundred twelve thousand".