1810721952 has 480 divisors, whose sum is σ = 6339286800. Its totient is φ = 501645312.

The previous prime is 1810721951. The next prime is 1810721963. The reversal of 1810721952 is 2591270181.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1024256016 + 786465936 = 32004^2 + 28044^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1810721951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16612074 + ... + 16612182.

Almost surely, 2^1810721952 is an apocalyptic number.

1810721952 is a gapful number since it is divisible by the number (12) 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 1810721952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169643400).

1810721952 is an abundant number, since it is smaller than the sum of its proper divisors (4528564848).

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

1810721952 is a wasteful number, since it uses less digits than its factorization.

1810721952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1810721952 is about 42552.5786762683. The cubic root of 1810721952 is about 1218.8509184125.

The spelling of 1810721952 in words is "one billion, eight hundred ten million, seven hundred twenty-one thousand, nine hundred fifty-two".