2129877504 has 480 divisors, whose sum is σ = 7238911680. Its totient is φ = 621084672.

The previous prime is 2129877493. The next prime is 2129877551. The reversal of 2129877504 is 4057789212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2129877504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40186342 + ... + 40186394.

It is an arithmetic number, because the mean of its divisors is an integer number (15081066).

Almost surely, 2^2129877504 is an apocalyptic number.

2129877504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129877504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2129877504 is an abundant number, since it is smaller than the sum of its proper divisors (5109034176).

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

2129877504 is an equidigital number, since it uses as much as digits as its factorization.

2129877504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2129877504 is about 46150.5959224797. The cubic root of 2129877504 is about 1286.6236857624.

The spelling of 2129877504 in words is "two billion, one hundred twenty-nine million, eight hundred seventy-seven thousand, five hundred four".