2492977680 has 60 divisors (see below), whose sum is σ = 8372252460. Its totient is φ = 664793856.

The previous prime is 2492977679. The next prime is 2492977693. The reversal of 2492977680 is 867792942.

2492977680 is a `hidden beast` number, since 2 + 492 + 9 + 7 + 76 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1590095376 + 902882304 = 39876^2 + 30048^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1730515 + ... + 1731954.

It is an arithmetic number, because the mean of its divisors is an integer number (139537541).

Almost surely, 2^2492977680 is an apocalyptic number.

2492977680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2492977680 is an abundant number, since it is smaller than the sum of its proper divisors (5879274780).

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

2492977680 is a wasteful number, since it uses less digits than its factorization.

2492977680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462488 (or 3462479 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2492977680 is about 49929.7274176417. The cubic root of 2492977680 is about 1355.9368493315.

The spelling of 2492977680 in words is "two billion, four hundred ninety-two million, nine hundred seventy-seven thousand, six hundred eighty".