2095765440 has 224 divisors, whose sum is σ = 7086014784. Its totient is φ = 522977280.

The previous prime is 2095765429. The next prime is 2095765487. The reversal of 2095765440 is 445675902.

It is a junction number, because it is equal to n+sod(n) for n = 2095765392 and 2095765401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4585692 + ... + 4586148.

Almost surely, 2^2095765440 is an apocalyptic number.

2095765440 is a gapful number since it is divisible by the number (20) 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 2095765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543007392).

2095765440 is an abundant number, since it is smaller than the sum of its proper divisors (4990249344).

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

2095765440 is a wasteful number, since it uses less digits than its factorization.

2095765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2095765440 is about 45779.5307970713. The cubic root of 2095765440 is about 1279.7178414524.

The spelling of 2095765440 in words is "two billion, ninety-five million, seven hundred sixty-five thousand, four hundred forty".