274053120 has 192 divisors, whose sum is σ = 957640320. Its totient is φ = 66355200.

The previous prime is 274053083. The next prime is 274053121. The reversal of 274053120 is 21350472.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×274053120² = 150210225163468800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274053121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337515 + ... + 338325.

It is an arithmetic number, because the mean of its divisors is an integer number (4987710).

Almost surely, 2^274053120 is an apocalyptic number.

274053120 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 274053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

274053120 is an abundant number, since it is smaller than the sum of its proper divisors (683587200).

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

274053120 is a wasteful number, since it uses less digits than its factorization.

274053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 274053120 is about 16554.5498277664. The cubic root of 274053120 is about 649.5484990758.

The spelling of 274053120 in words is "two hundred seventy-four million, fifty-three thousand, one hundred twenty".