2400861463 has 32 divisors (see below), whose sum is σ = 3363720192. Its totient is φ = 1651795200.

The previous prime is 2400861461. The next prime is 2400861481. The reversal of 2400861463 is 3641680042.

It is not a de Polignac number, because 2400861463 - 2¹ = 2400861461 is a prime.

It is a super-4 number, since 4×2400861463⁴ (a number of 39 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400861461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29118 + ... + 75163.

It is an arithmetic number, because the mean of its divisors is an integer number (105116256).

Almost surely, 2^2400861463 is an apocalyptic number.

2400861463 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2400861463 is a deficient number, since it is larger than the sum of its proper divisors (962858729).

2400861463 is a wasteful number, since it uses less digits than its factorization.

2400861463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104335.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2400861463 is about 48998.5863367506. The cubic root of 2400861463 is about 1339.0260731453.

The spelling of 2400861463 in words is "two billion, four hundred million, eight hundred sixty-one thousand, four hundred sixty-three".