274890240 has 320 divisors, whose sum is σ = 1010560320. Its totient is φ = 70778880.

The previous prime is 274890229. The next prime is 274890251. The reversal of 274890240 is 42098472.

It is an interprime number because it is at equal distance from previous prime (274890229) and next prime (274890251).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 274890195 and 274890204.

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, 2833872 + ... + 2833968.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2^274890240 is an apocalyptic number.

274890240 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 274890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505280160).

274890240 is an abundant number, since it is smaller than the sum of its proper divisors (735670080).

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

274890240 is an equidigital number, since it uses as much as digits as its factorization.

274890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 274890240 is about 16579.8142329762. The cubic root of 274890240 is about 650.2091949932.

The spelling of 274890240 in words is "two hundred seventy-four million, eight hundred ninety thousand, two hundred forty".