7105290240 has 224 divisors, whose sum is σ = 23185745856. Its totient is φ = 1857290240.

The previous prime is 7105290223. The next prime is 7105290251. The reversal of 7105290240 is 420925017.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7105290198 and 7105290207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6512095 + ... + 6513185.

It is an arithmetic number, because the mean of its divisors is an integer number (103507794).

Almost surely, 2^7105290240 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 7105290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592872928).

7105290240 is an abundant number, since it is smaller than the sum of its proper divisors (16080455616).

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

7105290240 is a wasteful number, since it uses less digits than its factorization.

7105290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7105290240 is about 84292.8836853978. The cubic root of 7105290240 is about 1922.4745870425.

The spelling of 7105290240 in words is "seven billion, one hundred five million, two hundred ninety thousand, two hundred forty".