2469906432 has 288 divisors, whose sum is σ = 8466494400. Its totient is φ = 704692224.

The previous prime is 2469906407. The next prime is 2469906433. The reversal of 2469906432 is 2346099642.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2469906432² = 12200875565669941248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2469906433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483294 + ... + 3484002.

It is an arithmetic number, because the mean of its divisors is an integer number (29397550).

Almost surely, 2^2469906432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2469906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233247200).

2469906432 is an abundant number, since it is smaller than the sum of its proper divisors (5996587968).

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

2469906432 is an frugal number, since it uses more digits than its factorization.

2469906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2469906432 is about 49698.1532051242. The cubic root of 2469906432 is about 1351.7410425687.

The spelling of 2469906432 in words is "two billion, four hundred sixty-nine million, nine hundred six thousand, four hundred thirty-two".