2502983880306 has 64 divisors (see below), whose sum is σ = 6845767891200. Its totient is φ = 660127615488.

The previous prime is 2502983880289. The next prime is 2502983880337. The reversal of 2502983880306 is 6030883892052.

2502983880306 is a `hidden beast` number, since 250 + 2 + 9 + 8 + 3 + 8 + 80 + 306 = 666.

2502983880306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 254673951 + ... + 254683778.

It is an arithmetic number, because the mean of its divisors is an integer number (106965123300).

Almost surely, 2^{2502983880306} is an apocalyptic number.

2502983880306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2502983880306 is an abundant number, since it is smaller than the sum of its proper divisors (4342784010894).

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

2502983880306 is a wasteful number, since it uses less digits than its factorization.

2502983880306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509357760 (or 509357754 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2502983880306 in words is "two trillion, five hundred two billion, nine hundred eighty-three million, eight hundred eighty thousand, three hundred six".