2444400640 has 96 divisors (see below), whose sum is σ = 6398617680. Its totient is φ = 888832000.

The previous prime is 2444400617. The next prime is 2444400643. The reversal of 2444400640 is 460044442.

It is a junction number, because it is equal to n+sod(n) for n = 2444400599 and 2444400608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444400643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101790 + ... + 123490.

Almost surely, 2^2444400640 is an apocalyptic number.

2444400640 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 2444400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199308840).

2444400640 is an abundant number, since it is smaller than the sum of its proper divisors (3954217040).

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

2444400640 is a wasteful number, since it uses less digits than its factorization.

2444400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21739 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2444400640 is about 49440.8802510635. The cubic root of 2444400640 is about 1347.0719602681.

The spelling of 2444400640 in words is "two billion, four hundred forty-four million, four hundred thousand, six hundred forty".