2483965440 has 560 divisors, whose sum is σ = 9821732976. Its totient is φ = 602173440.

The previous prime is 2483965439. The next prime is 2483965447. The reversal of 2483965440 is 445693842.

2483965440 is a `hidden beast` number, since 24 + 83 + 9 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×2483965440² = 12340168614228787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483965447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 225815035 + ... + 225815045.

Almost surely, 2^2483965440 is an apocalyptic number.

2483965440 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 2483965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910866488).

2483965440 is an abundant number, since it is smaller than the sum of its proper divisors (7337767536).

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

2483965440 is an frugal number, since it uses more digits than its factorization.

2483965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2483965440 is about 49839.3964650456. The cubic root of 2483965440 is about 1354.3009497679.

The spelling of 2483965440 in words is "two billion, four hundred eighty-three million, nine hundred sixty-five thousand, four hundred forty".