2451515040 has 144 divisors (see below), whose sum is σ = 9009386568. Its totient is φ = 603445248.

The previous prime is 2451515023. The next prime is 2451515063. The reversal of 2451515040 is 405151542.

2451515040 is a `hidden beast` number, since 2 + 4 + 5 + 151 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 974188944 + 1477326096 = 31212^2 + 38436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2451514995 and 2451515013.

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 23 ways as a sum of consecutive naturals, for example, 46759 + ... + 84198.

Almost surely, 2^2451515040 is an apocalyptic number.

2451515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451515040 is an abundant number, since it is smaller than the sum of its proper divisors (6557871528).

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

2451515040 is a wasteful number, since it uses less digits than its factorization.

2451515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130991 (or 130980 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2451515040 is about 49512.7765329314. The cubic root of 2451515040 is about 1348.3775735871.

Adding to 2451515040 its reverse (405151542), we get a palindrome (2856666582).

The spelling of 2451515040 in words is "two billion, four hundred fifty-one million, five hundred fifteen thousand, forty".