2483324640 has 288 divisors, whose sum is σ = 9125415936. Its totient is φ = 612679680.

The previous prime is 2483324633. The next prime is 2483324647. The reversal of 2483324640 is 464233842.

2483324640 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 3 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2483324633) and next prime (2483324647).

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

It is a super-2 number, since 2×2483324640² = 12333802535262259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2483324595 and 2483324604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483324647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492449 + ... + 1494111.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 2^2483324640 is an apocalyptic number.

2483324640 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 2483324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562707968).

2483324640 is an abundant number, since it is smaller than the sum of its proper divisors (6642091296).

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

2483324640 is a wasteful number, since it uses less digits than its factorization.

2483324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2483324640 is about 49832.9674011091. The cubic root of 2483324640 is about 1354.1844813351.

The spelling of 2483324640 in words is "two billion, four hundred eighty-three million, three hundred twenty-four thousand, six hundred forty".