2267406000 has 320 divisors, whose sum is σ = 8201856000. Its totient is φ = 598752000.

The previous prime is 2267405993. The next prime is 2267406013. The reversal of 2267406000 is 6047622.

2267406000 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 super-2 number, since 2×2267406000² = 10282259937672000000, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 10745895 + ... + 10746105.

It is an arithmetic number, because the mean of its divisors is an integer number (25630800).

Almost surely, 2^2267406000 is an apocalyptic number.

2267406000 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 2267406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100928000).

2267406000 is an abundant number, since it is smaller than the sum of its proper divisors (5934450000).

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

2267406000 is a wasteful number, since it uses less digits than its factorization.

2267406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

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

The square root of 2267406000 is about 47617.2867769679. The cubic root of 2267406000 is about 1313.7410302595.

The spelling of 2267406000 in words is "two billion, two hundred sixty-seven million, four hundred six thousand".