2503400640 has 224 divisors, whose sum is σ = 8856146880. Its totient is φ = 594886656.

The previous prime is 2503400623. The next prime is 2503400693. The reversal of 2503400640 is 460043052.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2503400640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358462 + ... + 365378.

It is an arithmetic number, because the mean of its divisors is an integer number (39536370).

Almost surely, 2^2503400640 is an apocalyptic number.

2503400640 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 2503400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428073440).

2503400640 is an abundant number, since it is smaller than the sum of its proper divisors (6352746240).

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

2503400640 is a wasteful number, since it uses less digits than its factorization.

2503400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2503400640 is about 50033.9948435061. The cubic root of 2503400640 is about 1357.8239132899.

Adding to 2503400640 its reverse (460043052), we get a palindrome (2963443692).

The spelling of 2503400640 in words is "two billion, five hundred three million, four hundred thousand, six hundred forty".