1819901952 has 384 divisors, whose sum is σ = 6275631600. Its totient is φ = 519045120.

The previous prime is 1819901927. The next prime is 1819902011. The reversal of 1819901952 is 2591099181.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1819901952² = 6624086229786820608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1819901898 and 1819901907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107053048 + ... + 107053064.

Almost surely, 2^1819901952 is an apocalyptic number.

1819901952 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 1819901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137815800).

1819901952 is an abundant number, since it is smaller than the sum of its proper divisors (4455729648).

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

1819901952 is an equidigital number, since it uses as much as digits as its factorization.

1819901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The square root of 1819901952 is about 42660.3088596414. The cubic root of 1819901952 is about 1220.9072245067.

The spelling of 1819901952 in words is "one billion, eight hundred nineteen million, nine hundred one thousand, nine hundred fifty-two".