2252916666 has 288 divisors, whose sum is σ = 6864434304. Its totient is φ = 538876800.

The previous prime is 2252916577. The next prime is 2252916683. The reversal of 2252916666 is 6666192522.

It is a happy number.

Its product of digits (466560) is a multiple of the sum of its prime factors (480).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5351136 + ... + 5351556.

Almost surely, 2^2252916666 is an apocalyptic number.

2252916666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252916666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432217152).

2252916666 is an abundant number, since it is smaller than the sum of its proper divisors (4611517638).

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

2252916666 is a wasteful number, since it uses less digits than its factorization.

2252916666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2252916666 is about 47464.8993046441. The cubic root of 2252916666 is about 1310.9366620532.

The spelling of 2252916666 in words is "two billion, two hundred fifty-two million, nine hundred sixteen thousand, six hundred sixty-six".