2451678084 has 96 divisors (see below), whose sum is σ = 6481668480. Its totient is φ = 801187200.

The previous prime is 2451678079. The next prime is 2451678109. The reversal of 2451678084 is 4808761542.

It is a super-2 number, since 2×2451678084² = 12021450855131822112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708714 + ... + 3709374.

It is an arithmetic number, because the mean of its divisors is an integer number (67517380).

Almost surely, 2^2451678084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2451678084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240834240).

2451678084 is an abundant number, since it is smaller than the sum of its proper divisors (4029990396).

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

2451678084 is a wasteful number, since it uses less digits than its factorization.

2451678084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2451678084 is about 49514.4229896704. The cubic root of 2451678084 is about 1348.4074653066.

The spelling of 2451678084 in words is "two billion, four hundred fifty-one million, six hundred seventy-eight thousand, eighty-four".