2332628480 has 640 divisors, whose sum is σ = 7919493120. Its totient is φ = 637009920.

The previous prime is 2332628477. The next prime is 2332628483. The reversal of 2332628480 is 848262332.

It is an interprime number because it is at equal distance from previous prime (2332628477) and next prime (2332628483).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2332628480² = 10882311251414220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332628483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75246065 + ... + 75246095.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^2332628480 is an apocalyptic number.

2332628480 is a gapful number since it is divisible by the number (20) 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 2332628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2332628480 is an abundant number, since it is smaller than the sum of its proper divisors (5586864640).

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

2332628480 is a wasteful number, since it uses less digits than its factorization.

2332628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 2332628480 is about 48297.2926777475. The cubic root of 2332628480 is about 1326.2188343372.

The spelling of 2332628480 in words is "two billion, three hundred thirty-two million, six hundred twenty-eight thousand, four hundred eighty".