2409963 has 16 divisors (see below), whose sum is σ = 3421440. Its totient is φ = 1505504.

The previous prime is 2409947. The next prime is 2409983. The reversal of 2409963 is 3699042.

It is a cyclic number.

It is not a de Polignac number, because 2409963 - 2⁴ = 2409947 is a prime.

It is a super-2 number, since 2×2409963² = 11615843322738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2409983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3328 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (213840).

2^2409963 is an apocalyptic number.

2409963 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2409963 is a deficient number, since it is larger than the sum of its proper divisors (1011477).

2409963 is a wasteful number, since it uses less digits than its factorization.

2409963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2409963 is about 1552.4055526827. The cubic root of 2409963 is about 134.0715998137.

It can be divided in two parts, 2 and 409963, that added together give a triangular number (409965 = T₉₀₅).

The spelling of 2409963 in words is "two million, four hundred nine thousand, nine hundred sixty-three".