1965280416 has 48 divisors (see below), whose sum is σ = 5627851488. Its totient is φ = 595539200.

The previous prime is 1965280403. The next prime is 1965280453. The reversal of 1965280416 is 6140825691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1965280416² = 7724654227026266112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929475 + ... + 931586.

It is an arithmetic number, because the mean of its divisors is an integer number (117246906).

Almost surely, 2^1965280416 is an apocalyptic number.

1965280416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1965280416 is an abundant number, since it is smaller than the sum of its proper divisors (3662571072).

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

1965280416 is a wasteful number, since it uses less digits than its factorization.

1965280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861085 (or 1861077 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1965280416 is about 44331.4833498722. The cubic root of 1965280416 is about 1252.5877943726.

The spelling of 1965280416 in words is "one billion, nine hundred sixty-five million, two hundred eighty thousand, four hundred sixteen".