2451489680 has 40 divisors (see below), whose sum is σ = 5701988472. Its totient is φ = 980204544.

The previous prime is 2451489653. The next prime is 2451489721. The reversal of 2451489680 is 869841542.

It can be written as a sum of positive squares in 4 ways, for example, as 1551729664 + 899760016 = 39392^2 + 29996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2451489680² = 12019603302293004800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 277004 + ... + 285716.

Almost surely, 2^2451489680 is an apocalyptic number.

2451489680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451489680 is an abundant number, since it is smaller than the sum of its proper divisors (3250498792).

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

2451489680 is a wasteful number, since it uses less digits than its factorization.

2451489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12243 (or 12237 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 2451489680 is about 49512.5204367542. The cubic root of 2451489680 is about 1348.3729240850.

The spelling of 2451489680 in words is "two billion, four hundred fifty-one million, four hundred eighty-nine thousand, six hundred eighty".