2261554047 has 32 divisors (see below), whose sum is σ = 3573158400. Its totient is φ = 1408765824.

The previous prime is 2261554003. The next prime is 2261554049. The reversal of 2261554047 is 7404551622.

It is a happy number.

2261554047 is a `hidden beast` number, since 2 + 2 + 61 + 554 + 0 + 47 = 666.

It is not a de Polignac number, because 2261554047 - 2⁷ = 2261553919 is a prime.

It is a super-2 number, since 2×2261554047² = 10229253415004156418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261554049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46078 + ... + 81524.

It is an arithmetic number, because the mean of its divisors is an integer number (111661200).

Almost surely, 2^2261554047 is an apocalyptic number.

2261554047 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2261554047 is a deficient number, since it is larger than the sum of its proper divisors (1311604353).

2261554047 is a wasteful number, since it uses less digits than its factorization.

2261554047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35612 (or 35606 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2261554047 is about 47555.7992993494. The cubic root of 2261554047 is about 1312.6098441945.

The spelling of 2261554047 in words is "two billion, two hundred sixty-one million, five hundred fifty-four thousand, forty-seven".