261254040 has 128 divisors (see below), whose sum is σ = 833112000. Its totient is φ = 65415168.

The previous prime is 261254023. The next prime is 261254051. The reversal of 261254040 is 40452162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 261254040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127746 + ... + 129774.

Almost surely, 2^261254040 is an apocalyptic number.

261254040 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 261254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416556000).

261254040 is an abundant number, since it is smaller than the sum of its proper divisors (571857960).

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

261254040 is a wasteful number, since it uses less digits than its factorization.

261254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 261254040 is about 16163.3548497829. The cubic root of 261254040 is about 639.2749275549.

The spelling of 261254040 in words is "two hundred sixty-one million, two hundred fifty-four thousand, forty".