2505284640 has 240 divisors, whose sum is σ = 8989346520. Its totient is φ = 656916480.

The previous prime is 2505284627. The next prime is 2505284641. The reversal of 2505284640 is 464825052.

It is a happy number.

2505284640 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 2 + 8 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1734889104 + 770395536 = 41652^2 + 27756^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2505284640² = 12552902254839859200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2505284595 and 2505284604.

It is not an unprimeable number, because it can be changed into a prime (2505284641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 788976 + ... + 792144.

Almost surely, 2^2505284640 is an apocalyptic number.

2505284640 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 2505284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494673260).

2505284640 is an abundant number, since it is smaller than the sum of its proper divisors (6484061880).

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

2505284640 is a wasteful number, since it uses less digits than its factorization.

2505284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2505284640 is about 50052.8185020584. The cubic root of 2505284640 is about 1358.1644499114.

The spelling of 2505284640 in words is "two billion, five hundred five million, two hundred eighty-four thousand, six hundred forty".