7254339840 has 864 divisors, whose sum is σ = 30304834560. Its totient is φ = 1581465600.

The previous prime is 7254339839. The next prime is 7254339881. The reversal of 7254339840 is 489334527.

7254339840 is a `hidden beast` number, since 7 + 254 + 3 + 398 + 4 + 0 = 666.

It is a super-2 number, since 2×7254339840² (a number of 21 digits) 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55376575 + ... + 55376705.

It is an arithmetic number, because the mean of its divisors is an integer number (35075040).

Almost surely, 2^7254339840 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 7254339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152417280).

7254339840 is an abundant number, since it is smaller than the sum of its proper divisors (23050494720).

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

7254339840 is a wasteful number, since it uses less digits than its factorization.

7254339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7254339840 is about 85172.4124350133. The cubic root of 7254339840 is about 1935.8244268529.

The spelling of 7254339840 in words is "seven billion, two hundred fifty-four million, three hundred thirty-nine thousand, eight hundred forty".