275819040 has 288 divisors, whose sum is σ = 1123839360. Its totient is φ = 62995968.

The previous prime is 275819017. The next prime is 275819051. The reversal of 275819040 is 40918572.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×275819040² = 152152285653043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 275818986 and 275819004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211029 + ... + 212331.

It is an arithmetic number, because the mean of its divisors is an integer number (3902220).

Almost surely, 2^275819040 is an apocalyptic number.

275819040 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 275819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561919680).

275819040 is an abundant number, since it is smaller than the sum of its proper divisors (848020320).

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

275819040 is a wasteful number, since it uses less digits than its factorization.

275819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 275819040 is about 16607.8005768374. The cubic root of 275819040 is about 650.9406813797.

The spelling of 275819040 in words is "two hundred seventy-five million, eight hundred nineteen thousand, forty".