1965048700 has 144 divisors (see below), whose sum is σ = 4876562880. Its totient is φ = 682823680.

The previous prime is 1965048667. The next prime is 1965048703. The reversal of 1965048700 is 78405691.

It is a super-2 number, since 2×1965048700² = 7722832786743380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965048703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133034 + ... + 1134766.

It is an arithmetic number, because the mean of its divisors is an integer number (33865020).

Almost surely, 2^1965048700 is an apocalyptic number.

1965048700 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 1965048700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438281440).

1965048700 is an abundant number, since it is smaller than the sum of its proper divisors (2911514180).

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

1965048700 is a wasteful number, since it uses less digits than its factorization.

1965048700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1965048700 is about 44328.8698254309. The cubic root of 1965048700 is about 1252.5385637320.

The spelling of 1965048700 in words is "one billion, nine hundred sixty-five million, forty-eight thousand, seven hundred".