2267397984 has 192 divisors, whose sum is σ = 6721263360. Its totient is φ = 665026560.

The previous prime is 2267397953. The next prime is 2267398009. The reversal of 2267397984 is 4897937622.

2267397984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2573224 + ... + 2574104.

It is an arithmetic number, because the mean of its divisors is an integer number (35006580).

Almost surely, 2^2267397984 is an apocalyptic number.

2267397984 is a gapful number since it is divisible by the number (24) 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 2267397984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360631680).

2267397984 is an abundant number, since it is smaller than the sum of its proper divisors (4453865376).

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

2267397984 is a wasteful number, since it uses less digits than its factorization.

2267397984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 2267397984 is about 47617.2026057810. The cubic root of 2267397984 is about 1313.7394820938.

The spelling of 2267397984 in words is "two billion, two hundred sixty-seven million, three hundred ninety-seven thousand, nine hundred eighty-four".