2251666368 has 168 divisors, whose sum is σ = 7425062112. Its totient is φ = 639055872.

The previous prime is 2251666357. The next prime is 2251666379. The reversal of 2251666368 is 8636661522.

It is an interprime number because it is at equal distance from previous prime (2251666357) and next prime (2251666379).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2251666368² = 10140002865564622848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631246 + ... + 634802.

Almost surely, 2^2251666368 is an apocalyptic number.

2251666368 is a gapful number since it is divisible by the number (28) 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 2251666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712531056).

2251666368 is an abundant number, since it is smaller than the sum of its proper divisors (5173395744).

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

2251666368 is a wasteful number, since it uses less digits than its factorization.

2251666368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3726 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2251666368 is about 47451.7267125233. The cubic root of 2251666368 is about 1310.6941076179.

The spelling of 2251666368 in words is "two billion, two hundred fifty-one million, six hundred sixty-six thousand, three hundred sixty-eight".