2504705140 has 96 divisors (see below), whose sum is σ = 6307596288. Its totient is φ = 817344000.

The previous prime is 2504705131. The next prime is 2504705143. The reversal of 2504705140 is 415074052.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2504705099 and 2504705108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504705143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260010 + ... + 269470.

It is an arithmetic number, because the mean of its divisors is an integer number (65704128).

Almost surely, 2^2504705140 is an apocalyptic number.

2504705140 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 2504705140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153798144).

2504705140 is an abundant number, since it is smaller than the sum of its proper divisors (3802891148).

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

2504705140 is a wasteful number, since it uses less digits than its factorization.

2504705140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2504705140 is about 50047.0292824659. The cubic root of 2504705140 is about 1358.0597223582.

Adding to 2504705140 its reverse (415074052), we get a palindrome (2919779192).

The spelling of 2504705140 in words is "two billion, five hundred four million, seven hundred five thousand, one hundred forty".