2267600400 has 480 divisors, whose sum is σ = 8989424640. Its totient is φ = 539136000.

The previous prime is 2267600339. The next prime is 2267600459. The reversal of 2267600400 is 40067622.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4352140 + ... + 4352660.

It is an arithmetic number, because the mean of its divisors is an integer number (18727968).

Almost surely, 2^2267600400 is an apocalyptic number.

2267600400 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 2267600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494712320).

2267600400 is an abundant number, since it is smaller than the sum of its proper divisors (6721824240).

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

2267600400 is a wasteful number, since it uses less digits than its factorization.

2267600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2267600400 is about 47619.3280086983. The cubic root of 2267600400 is about 1313.7785744779.

The spelling of 2267600400 in words is "two billion, two hundred sixty-seven million, six hundred thousand, four hundred".