2832252480 has 504 divisors, whose sum is σ = 10798332480. Its totient is φ = 705438720.

The previous prime is 2832252469. The next prime is 2832252481. The reversal of 2832252480 is 842522382.

2832252480 is a `hidden beast` number, since 28 + 32 + 2 + 524 + 80 = 666.

It is a super-2 number, since 2×2832252480² = 16043308220932300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832252481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39890845 + ... + 39890915.

Almost surely, 2^2832252480 is an apocalyptic number.

2832252480 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 2832252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399166240).

2832252480 is an abundant number, since it is smaller than the sum of its proper divisors (7966080000).

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

2832252480 is an frugal number, since it uses more digits than its factorization.

2832252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2832252480 is about 53218.9109245952. The cubic root of 2832252480 is about 1414.8508343718.

The spelling of 2832252480 in words is "two billion, eight hundred thirty-two million, two hundred fifty-two thousand, four hundred eighty".