2544407040 has 640 divisors, whose sum is σ = 10182205440. Its totient is φ = 529072128.

The previous prime is 2544407023. The next prime is 2544407053. The reversal of 2544407040 is 407044452.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 2544406989 and 2544407007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48007654 + ... + 48007706.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^2544407040 is an apocalyptic number.

2544407040 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 2544407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091102720).

2544407040 is an abundant number, since it is smaller than the sum of its proper divisors (7637798400).

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

2544407040 is a wasteful number, since it uses less digits than its factorization.

2544407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 2544407040 is about 50442.1157367532. The cubic root of 2544407040 is about 1365.1976420868.

The spelling of 2544407040 in words is "two billion, five hundred forty-four million, four hundred seven thousand, forty".