2505738240 has 576 divisors, whose sum is σ = 9658958400. Its totient is φ = 621084672.

The previous prime is 2505738233. The next prime is 2505738283. The reversal of 2505738240 is 428375052.

2505738240 is a `hidden beast` number, since 2 + 5 + 0 + 573 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2505738195 and 2505738204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47278054 + ... + 47278106.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

Almost surely, 2^2505738240 is an apocalyptic number.

2505738240 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 2505738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829479200).

2505738240 is an abundant number, since it is smaller than the sum of its proper divisors (7153220160).

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

2505738240 is an equidigital number, since it uses as much as digits as its factorization.

2505738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2505738240 is about 50057.3495103366. The cubic root of 2505738240 is about 1358.2464134812.

The spelling of 2505738240 in words is "two billion, five hundred five million, seven hundred thirty-eight thousand, two hundred forty".