2491817760 has 72 divisors (see below), whose sum is σ = 8503333020. Its totient is φ = 664484352.

The previous prime is 2491817749. The next prime is 2491817761. The reversal of 2491817760 is 677181942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2353802256 + 138015504 = 48516^2 + 11748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2491817761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863775 + ... + 866654.

Almost surely, 2^2491817760 is an apocalyptic number.

2491817760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2491817760 is an abundant number, since it is smaller than the sum of its proper divisors (6011515260).

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

2491817760 is a wasteful number, since it uses less digits than its factorization.

2491817760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730450 (or 1730439 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2491817760 is about 49918.1105411653. The cubic root of 2491817760 is about 1355.7265222367.

The spelling of 2491817760 in words is "two billion, four hundred ninety-one million, eight hundred seventeen thousand, seven hundred sixty".