2501632829 has 8 divisors (see below), whose sum is σ = 2589248160. Its totient is φ = 2414107696.

The previous prime is 2501632817. The next prime is 2501632831. The reversal of 2501632829 is 9282361052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2501632829 - 2²⁴ = 2484855613 is a prime.

It is a super-2 number, since 2×2501632829² = 12516333622261086482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2501632792 and 2501632801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501632879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36554 + ... + 79620.

It is an arithmetic number, because the mean of its divisors is an integer number (323656020).

Almost surely, 2^2501632829 is an apocalyptic number.

2501632829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2501632829 is a deficient number, since it is larger than the sum of its proper divisors (87615331).

2501632829 is a wasteful number, since it uses less digits than its factorization.

2501632829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45099.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 2501632829 is about 50016.3256247398. The cubic root of 2501632829 is about 1357.5042226455.

The spelling of 2501632829 in words is "two billion, five hundred one million, six hundred thirty-two thousand, eight hundred twenty-nine".