7214970240 has 256 divisors, whose sum is σ = 25674624000. Its totient is φ = 1914845184.

The previous prime is 7214970197. The next prime is 7214970247. The reversal of 7214970240 is 420794127.

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 = 7214970195 and 7214970204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7214970247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129047 + ... + 4130793.

It is an arithmetic number, because the mean of its divisors is an integer number (100291500).

Almost surely, 2^7214970240 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 7214970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837312000).

7214970240 is an abundant number, since it is smaller than the sum of its proper divisors (18459653760).

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

7214970240 is a wasteful number, since it uses less digits than its factorization.

7214970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7214970240 is about 84940.9809220496. The cubic root of 7214970240 is about 1932.3161397711.

The spelling of 7214970240 in words is "seven billion, two hundred fourteen million, nine hundred seventy thousand, two hundred forty".