2800752000 has 512 divisors, whose sum is σ = 10158220800. Its totient is φ = 680140800.

The previous prime is 2800751971. The next prime is 2800752029. The reversal of 2800752000 is 2570082.

It is an interprime number because it is at equal distance from previous prime (2800751971) and next prime (2800752029).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33743959 + ... + 33744041.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^2800752000 is an apocalyptic number.

2800752000 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 2800752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079110400).

2800752000 is an abundant number, since it is smaller than the sum of its proper divisors (7357468800).

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

2800752000 is a wasteful number, since it uses less digits than its factorization.

2800752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2800752000 is about 52922.1314763493. The cubic root of 2800752000 is about 1409.5859153244.

The spelling of 2800752000 in words is "two billion, eight hundred million, seven hundred fifty-two thousand".