2266462400 has 84 divisors (see below), whose sum is σ = 5586697488. Its totient is φ = 904995840.

The previous prime is 2266462391. The next prime is 2266462441. The reversal of 2266462400 is 42646622.

It is a super-2 number, since 2×2266462400² = 10273703621227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1418402 + ... + 1419998.

Almost surely, 2^2266462400 is an apocalyptic number.

2266462400 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 2266462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793348744).

2266462400 is an abundant number, since it is smaller than the sum of its proper divisors (3320235088).

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

2266462400 is a wasteful number, since it uses less digits than its factorization.

2266462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2266462400 is about 47607.3775795307. The cubic root of 2266462400 is about 1313.5587635284.

The spelling of 2266462400 in words is "two billion, two hundred sixty-six million, four hundred sixty-two thousand, four hundred".