2590146963 has 24 divisors (see below), whose sum is σ = 3882326448. Its totient is φ = 1725681024.

The previous prime is 2590146961. The next prime is 2590146983. The reversal of 2590146963 is 3696410952.

It is not a de Polignac number, because 2590146963 - 2¹ = 2590146961 is a prime.

It is a super-2 number, since 2×2590146963² = 13417722579876246738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2590146961) by changing a digit.

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, 633895 + ... + 637967.

It is an arithmetic number, because the mean of its divisors is an integer number (161763602).

Almost surely, 2^2590146963 is an apocalyptic number.

2590146963 is a deficient number, since it is larger than the sum of its proper divisors (1292179485).

2590146963 is an equidigital number, since it uses as much as digits as its factorization.

2590146963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2590146963 is about 50893.4864496430. The cubic root of 2590146963 is about 1373.3296676793.

The spelling of 2590146963 in words is "two billion, five hundred ninety million, one hundred forty-six thousand, nine hundred sixty-three".