2795581440 has 312 divisors, whose sum is σ = 10043476560. Its totient is φ = 718405632.

The previous prime is 2795581427. The next prime is 2795581447. The reversal of 2795581440 is 441855972.

2795581440 is a `hidden beast` number, since 27 + 9 + 5 + 581 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2795581447) 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, 5345019 + ... + 5345541.

It is an arithmetic number, because the mean of its divisors is an integer number (32190630).

Almost surely, 2^2795581440 is an apocalyptic number.

2795581440 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 2795581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021738280).

2795581440 is an abundant number, since it is smaller than the sum of its proper divisors (7247895120).

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

2795581440 is a wasteful number, since it uses less digits than its factorization.

2795581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2795581440 is about 52873.2582691856. The cubic root of 2795581440 is about 1408.7179534053.

The spelling of 2795581440 in words is "two billion, seven hundred ninety-five million, five hundred eighty-one thousand, four hundred forty".