2205762240 has 336 divisors, whose sum is σ = 8157947616. Its totient is φ = 502824960.

The previous prime is 2205762199. The next prime is 2205762241. The reversal of 2205762240 is 422675022.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 2205762198 and 2205762207.

It is not an unprimeable number, because it can be changed into a prime (2205762241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974162 + ... + 1975278.

It is an arithmetic number, because the mean of its divisors is an integer number (24279606).

Almost surely, 2^2205762240 is an apocalyptic number.

2205762240 is a gapful number since it is divisible by the number (20) 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 2205762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078973808).

2205762240 is an abundant number, since it is smaller than the sum of its proper divisors (5952185376).

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

2205762240 is a wasteful number, since it uses less digits than its factorization.

2205762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2205762240 is about 46965.5431140746. The cubic root of 2205762240 is about 1301.7259599608.

The spelling of 2205762240 in words is "two billion, two hundred five million, seven hundred sixty-two thousand, two hundred forty".