1965022416 has 280 divisors, whose sum is σ = 6694196544. Its totient is φ = 546808320.

The previous prime is 1965022393. The next prime is 1965022417. The reversal of 1965022416 is 6142205691.

1965022416 is a `hidden beast` number, since 196 + 50 + 2 + 2 + 416 = 666.

It is a super-2 number, since 2×1965022416² = 7722626190764954112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965022417) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3347275 + ... + 3347861.

Almost surely, 2^1965022416 is an apocalyptic number.

1965022416 is a gapful number since it is divisible by the number (16) 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 1965022416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347098272).

1965022416 is an abundant number, since it is smaller than the sum of its proper divisors (4729174128).

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

1965022416 is an equidigital number, since it uses as much as digits as its factorization.

1965022416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1965022416 is about 44328.5733585009. The cubic root of 1965022416 is about 1252.5329791596.

The spelling of 1965022416 in words is "one billion, nine hundred sixty-five million, twenty-two thousand, four hundred sixteen".