2468933632 has 104 divisors (see below), whose sum is σ = 5535412272. Its totient is φ = 1091174400.

The previous prime is 2468933627. The next prime is 2468933633. The reversal of 2468933632 is 2363398642.

It is a super-2 number, since 2×2468933632² = 12191266558441422848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468933633) 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, 1666332 + ... + 1667812.

It is an arithmetic number, because the mean of its divisors is an integer number (53225118).

Almost surely, 2^2468933632 is an apocalyptic number.

2468933632 is a gapful number since it is divisible by the number (22) 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 2468933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767706136).

2468933632 is an abundant number, since it is smaller than the sum of its proper divisors (3066478640).

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

2468933632 is a wasteful number, since it uses less digits than its factorization.

2468933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1531 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 46.

The square root of 2468933632 is about 49688.3651572478. The cubic root of 2468933632 is about 1351.5635532050.

The spelling of 2468933632 in words is "two billion, four hundred sixty-eight million, nine hundred thirty-three thousand, six hundred thirty-two".