1825741280 has 192 divisors, whose sum is σ = 4917749760. Its totient is φ = 634521600.

The previous prime is 1825741259. The next prime is 1825741301. The reversal of 1825741280 is 821475281.

It is an interprime number because it is at equal distance from previous prime (1825741259) and next prime (1825741301).

It is a super-4 number, since 4×1825741280⁴ (a number of 38 digits) contains 4444 as substring.

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, 5946887 + ... + 5947193.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^1825741280 is an apocalyptic number.

1825741280 is a gapful number since it is divisible by the number (10) 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 1825741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458874880).

1825741280 is an abundant number, since it is smaller than the sum of its proper divisors (3092008480).

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

1825741280 is a wasteful number, since it uses less digits than its factorization.

1825741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 1825741280 is about 42728.6938719170. The cubic root of 1825741280 is about 1222.2116292685.

The spelling of 1825741280 in words is "one billion, eight hundred twenty-five million, seven hundred forty-one thousand, two hundred eighty".