2242095146640 has 480 divisors, whose sum is σ = 7913471005440. Its totient is φ = 567809409024.

The previous prime is 2242095146593. The next prime is 2242095146657. The reversal of 2242095146640 is 466415902422.

It is a happy number.

2242095146640 is a `hidden beast` number, since 22 + 42 + 0 + 95 + 1 + 466 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1591266256 + ... + 1591267664.

It is an arithmetic number, because the mean of its divisors is an integer number (16486397928).

Almost surely, 2^{2242095146640} is an apocalyptic number.

2242095146640 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 2242095146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956735502720).

2242095146640 is an abundant number, since it is smaller than the sum of its proper divisors (5671375858800).

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

2242095146640 is a wasteful number, since it uses less digits than its factorization.

2242095146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2242095146640 in words is "two trillion, two hundred forty-two billion, ninety-five million, one hundred forty-six thousand, six hundred forty".