2646589440 has 360 divisors, whose sum is σ = 9413303760. Its totient is φ = 634388480.

The previous prime is 2646589403. The next prime is 2646589441. The reversal of 2646589440 is 449856462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2646589440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646589441) 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, 29736916 + ... + 29737004.

It is an arithmetic number, because the mean of its divisors is an integer number (26148066).

Almost surely, 2^2646589440 is an apocalyptic number.

2646589440 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 2646589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706651880).

2646589440 is an abundant number, since it is smaller than the sum of its proper divisors (6766714320).

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

2646589440 is an equidigital number, since it uses as much as digits as its factorization.

2646589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2646589440 is about 51445.0137525494. The cubic root of 2646589440 is about 1383.2335850400.

The spelling of 2646589440 in words is "two billion, six hundred forty-six million, five hundred eighty-nine thousand, four hundred forty".