2482140672 has 200 divisors, whose sum is σ = 8083525032. Its totient is φ = 752025600.

The previous prime is 2482140613. The next prime is 2482140673. The reversal of 2482140672 is 2760412842.

2482140672 is a `hidden beast` number, since 248 + 2 + 1 + 406 + 7 + 2 = 666.

It is a super-3 number, since 3×2482140672³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (2482140673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 453472 + ... + 458912.

Almost surely, 2^2482140672 is an apocalyptic number.

2482140672 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 2482140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041762516).

2482140672 is an abundant number, since it is smaller than the sum of its proper divisors (5601384360).

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

2482140672 is an equidigital number, since it uses as much as digits as its factorization.

2482140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2482140672 is about 49821.0866200247. The cubic root of 2482140672 is about 1353.9692368284.

The spelling of 2482140672 in words is "two billion, four hundred eighty-two million, one hundred forty thousand, six hundred seventy-two".