2095954560 has 384 divisors, whose sum is σ = 8344252800. Its totient is φ = 474882048.

The previous prime is 2095954537. The next prime is 2095954561. The reversal of 2095954560 is 654595902.

It is a happy number.

2095954560 is a `hidden beast` number, since 2 + 0 + 9 + 595 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2095954561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9152526 + ... + 9152754.

It is an arithmetic number, because the mean of its divisors is an integer number (21729825).

Almost surely, 2^2095954560 is an apocalyptic number.

2095954560 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 2095954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172126400).

2095954560 is an abundant number, since it is smaller than the sum of its proper divisors (6248298240).

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

2095954560 is a wasteful number, since it uses less digits than its factorization.

2095954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2095954560 is about 45781.5963024445. The cubic root of 2095954560 is about 1279.7563338260.

The spelling of 2095954560 in words is "two billion, ninety-five million, nine hundred fifty-four thousand, five hundred sixty".