2725019040 has 192 divisors, whose sum is σ = 8902656000. Its totient is φ = 699909120.

The previous prime is 2725019027. The next prime is 2725019041. The reversal of 2725019040 is 409105272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2725018989 and 2725019007.

It is not an unprimeable number, because it can be changed into a prime (2725019041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460711 + ... + 5461209.

It is an arithmetic number, because the mean of its divisors is an integer number (46368000).

Almost surely, 2^2725019040 is an apocalyptic number.

2725019040 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 2725019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451328000).

2725019040 is an abundant number, since it is smaller than the sum of its proper divisors (6177636960).

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

2725019040 is a wasteful number, since it uses less digits than its factorization.

2725019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2725019040 is about 52201.7149143589. The cubic root of 2725019040 is about 1396.7644737457.

The spelling of 2725019040 in words is "two billion, seven hundred twenty-five million, nineteen thousand, forty".