2266521600 has 672 divisors, whose sum is σ = 9361115136. Its totient is φ = 471859200.

The previous prime is 2266521599. The next prime is 2266521601. The reversal of 2266521600 is 61256622.

It is an interprime number because it is at equal distance from previous prime (2266521599) and next prime (2266521601).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266521601) 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, 73113585 + ... + 73113615.

Almost surely, 2^2266521600 is an apocalyptic number.

2266521600 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 2266521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680557568).

2266521600 is an abundant number, since it is smaller than the sum of its proper divisors (7094593536).

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

2266521600 is a wasteful number, since it uses less digits than its factorization.

2266521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2266521600 is about 47607.9993278441. Note that the first 3 decimals coincide. The cubic root of 2266521600 is about 1313.5702001476.

The spelling of 2266521600 in words is "two billion, two hundred sixty-six million, five hundred twenty-one thousand, six hundred".