7284281040 has 240 divisors, whose sum is σ = 26016209856. Its totient is φ = 1820160000.

The previous prime is 7284281029. The next prime is 7284281063. The reversal of 7284281040 is 401824827.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 7284280986 and 7284281004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3071055 + ... + 3073425.

Almost surely, 2^7284281040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7284281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008104928).

7284281040 is an abundant number, since it is smaller than the sum of its proper divisors (18731928816).

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

7284281040 is a wasteful number, since it uses less digits than its factorization.

7284281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7284281040 is about 85347.9996250644. Note that the first 3 decimals coincide. The cubic root of 7284281040 is about 1938.4840461658.

The spelling of 7284281040 in words is "seven billion, two hundred eighty-four million, two hundred eighty-one thousand, forty".