2260992006 has 144 divisors (see below), whose sum is σ = 6335941248. Its totient is φ = 576979200.

The previous prime is 2260991981. The next prime is 2260992043. The reversal of 2260992006 is 6002990622.

2260992006 is a `hidden beast` number, since 22 + 609 + 9 + 20 + 0 + 6 = 666.

It is a super-2 number, since 2×2260992006² = 10224169702391808072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352266 + ... + 358626.

It is an arithmetic number, because the mean of its divisors is an integer number (43999592).

Almost surely, 2^2260992006 is an apocalyptic number.

2260992006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260992006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167970624).

2260992006 is an abundant number, since it is smaller than the sum of its proper divisors (4074949242).

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

2260992006 is a wasteful number, since it uses less digits than its factorization.

2260992006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2260992006 is about 47549.8896528688. The cubic root of 2260992006 is about 1312.5010986657.

The spelling of 2260992006 in words is "two billion, two hundred sixty million, nine hundred ninety-two thousand, six".