2644040400 has 60 divisors (see below), whose sum is σ = 8469746592. Its totient is φ = 705077120.

The previous prime is 2644040393. The next prime is 2644040407. The reversal of 2644040400 is 40404462.

2644040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2644040393) and next prime (2644040407).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2644040407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100484 + ... + 1102883.

Almost surely, 2^2644040400 is an apocalyptic number.

2644040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2644040400 is an abundant number, since it is smaller than the sum of its proper divisors (5825706192).

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

2644040400 is a wasteful number, since it uses less digits than its factorization.

2644040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203388 (or 2203377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2644040400 is about 51420.2333716991. The cubic root of 2644040400 is about 1382.7893591901.

Adding to 2644040400 its reverse (40404462), we get a palindrome (2684444862).

The spelling of 2644040400 in words is "two billion, six hundred forty-four million, forty thousand, four hundred".