2505462240 has 96 divisors (see below), whose sum is σ = 7900532640. Its totient is φ = 667418624.

The previous prime is 2505462233. The next prime is 2505462259. The reversal of 2505462240 is 422645052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2505462198 and 2505462207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582016 + ... + 586304.

It is an arithmetic number, because the mean of its divisors is an integer number (82297215).

Almost surely, 2^2505462240 is an apocalyptic number.

2505462240 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 2505462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950266320).

2505462240 is an abundant number, since it is smaller than the sum of its proper divisors (5395070400).

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

2505462240 is a wasteful number, since it uses less digits than its factorization.

2505462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2505462240 is about 50054.5925964841. The cubic root of 2505462240 is about 1358.1965426462.

The spelling of 2505462240 in words is "two billion, five hundred five million, four hundred sixty-two thousand, two hundred forty".