2261952 has 224 divisors, whose sum is σ = 8778240. Its totient is φ = 552960.

The previous prime is 2261933. The next prime is 2261993. The reversal of 2261952 is 2591622.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2160) is a multiple of the sum of its prime divisors (40).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133048 + ... + 133064.

2^2261952 is an apocalyptic number.

2261952 is a gapful number since it is divisible by the number (22) 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 2261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2261952 is an abundant number, since it is smaller than the sum of its proper divisors (6516288).

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

2261952 is a wasteful number, since it uses less digits than its factorization.

2261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2261952 is about 1503.9787232538. The cubic root of 2261952 is about 131.2686830547.

The spelling of 2261952 in words is "two million, two hundred sixty-one thousand, nine hundred fifty-two".