2451605840 has 20 divisors (see below), whose sum is σ = 5699983764. Its totient is φ = 980642304.

The previous prime is 2451605833. The next prime is 2451605861. The reversal of 2451605840 is 485061542.

It can be written as a sum of positive squares in 2 ways, for example, as 1846249024 + 605356816 = 42968^2 + 24604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2451605840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15322457 + ... + 15322616.

Almost surely, 2^2451605840 is an apocalyptic number.

2451605840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451605840 is an abundant number, since it is smaller than the sum of its proper divisors (3248377924).

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

2451605840 is a wasteful number, since it uses less digits than its factorization.

2451605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30645086 (or 30645080 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 2451605840 is about 49513.6934594865. The cubic root of 2451605840 is about 1348.3942205952.

The spelling of 2451605840 in words is "two billion, four hundred fifty-one million, six hundred five thousand, eight hundred forty".