2451861568 has 56 divisors (see below), whose sum is σ = 5253456600. Its totient is φ = 1128652800.

The previous prime is 2451861553. The next prime is 2451861569. The reversal of 2451861568 is 8651681542.

It can be written as a sum of positive squares in 4 ways, for example, as 867184704 + 1584676864 = 29448^2 + 39808^2 .

It is a super-3 number, since 3×2451861568³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2451861569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329958 + ... + 337306.

It is an arithmetic number, because the mean of its divisors is an integer number (93811725).

Almost surely, 2^2451861568 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 2451861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626728300).

2451861568 is an abundant number, since it is smaller than the sum of its proper divisors (2801595032).

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

2451861568 is a wasteful number, since it uses less digits than its factorization.

2451861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7765 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The square root of 2451861568 is about 49516.2757888757. The cubic root of 2451861568 is about 1348.4411028146.

The spelling of 2451861568 in words is "two billion, four hundred fifty-one million, eight hundred sixty-one thousand, five hundred sixty-eight".