1825774020 has 240 divisors, whose sum is σ = 6583344768. Its totient is φ = 414927360.

The previous prime is 1825773997. The next prime is 1825774037. The reversal of 1825774020 is 204775281.

1825774020 is a `hidden beast` number, since 1 + 82 + 577 + 4 + 0 + 2 + 0 = 666.

It is a super-4 number, since 4×1825774020⁴ (a number of 38 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2641875 + ... + 2642565.

Almost surely, 2^1825774020 is an apocalyptic number.

1825774020 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 1825774020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291672384).

1825774020 is an abundant number, since it is smaller than the sum of its proper divisors (4757570748).

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

1825774020 is a wasteful number, since it uses less digits than its factorization.

1825774020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1825774020 is about 42729.0769851164. The cubic root of 1825774020 is about 1222.2189349713.

The spelling of 1825774020 in words is "one billion, eight hundred twenty-five million, seven hundred seventy-four thousand, twenty".