2451752720 has 40 divisors (see below), whose sum is σ = 5710449240. Its totient is φ = 978959360.

The previous prime is 2451752717. The next prime is 2451752741. The reversal of 2451752720 is 272571542.

It can be written as a sum of positive squares in 4 ways, for example, as 366186496 + 2085566224 = 19136^2 + 45668^2 .

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

It is a super-2 number, since 2×2451752720² = 12022182800054796800, 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 7 ways as a sum of consecutive naturals, for example, 18590 + ... + 72450.

It is an arithmetic number, because the mean of its divisors is an integer number (142761231).

Almost surely, 2^2451752720 is an apocalyptic number.

2451752720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451752720 is an abundant number, since it is smaller than the sum of its proper divisors (3258696520).

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

2451752720 is a wasteful number, since it uses less digits than its factorization.

2451752720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54443 (or 54437 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The square root of 2451752720 is about 49515.1766633221. The cubic root of 2451752720 is about 1348.4211482773.

The spelling of 2451752720 in words is "two billion, four hundred fifty-one million, seven hundred fifty-two thousand, seven hundred twenty".