2725761024 has 312 divisors, whose sum is σ = 9412441920. Its totient is φ = 777240576.

The previous prime is 2725761023. The next prime is 2725761037. The reversal of 2725761024 is 4201675272.

It is a happy number.

2725761024 is a `hidden beast` number, since 2 + 72 + 576 + 10 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2725761024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725761023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418757 + ... + 5419259.

Almost surely, 2^2725761024 is an apocalyptic number.

2725761024 is a gapful number since it is divisible by the number (24) 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 2725761024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706220960).

2725761024 is an abundant number, since it is smaller than the sum of its proper divisors (6686680896).

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

2725761024 is an equidigital number, since it uses as much as digits as its factorization.

2725761024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2725761024 is about 52208.8213236039. The cubic root of 2725761024 is about 1396.8912352872.

The spelling of 2725761024 in words is "two billion, seven hundred twenty-five million, seven hundred sixty-one thousand, twenty-four".