1950220800 has 840 divisors, whose sum is σ = 8318954160. Its totient is φ = 447897600.

The previous prime is 1950220759. The next prime is 1950220843. The reversal of 1950220800 is 80220591.

It is a super-2 number, since 2×1950220800² = 7606722337505280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 102643191 + ... + 102643209.

Almost surely, 2^1950220800 is an apocalyptic number.

1950220800 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 1950220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159477080).

1950220800 is an abundant number, since it is smaller than the sum of its proper divisors (6368733360).

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

1950220800 is an equidigital number, since it uses as much as digits as its factorization.

1950220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1950220800 is about 44161.3043285635. The cubic root of 1950220800 is about 1249.3801299931.

The spelling of 1950220800 in words is "one billion, nine hundred fifty million, two hundred twenty thousand, eight hundred".