2270006400 has 192 divisors, whose sum is σ = 7524295200. Its totient is φ = 601497600.

The previous prime is 2270006393. The next prime is 2270006471. The reversal of 2270006400 is 46000722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1717740 + ... + 1719060.

Almost surely, 2^2270006400 is an apocalyptic number.

2270006400 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 2270006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762147600).

2270006400 is an abundant number, since it is smaller than the sum of its proper divisors (5254288800).

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

2270006400 is a wasteful number, since it uses less digits than its factorization.

2270006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2270006400 is about 47644.5841623159. The cubic root of 2270006400 is about 1314.2430645985.

The spelling of 2270006400 in words is "two billion, two hundred seventy million, six thousand, four hundred".