2145756096 has 392 divisors, whose sum is σ = 7215951024. Its totient is φ = 627056640.

The previous prime is 2145756083. The next prime is 2145756097. The reversal of 2145756096 is 6906575412.

2145756096 is a `hidden beast` number, since 2 + 14 + 575 + 60 + 9 + 6 = 666.

It is a super-2 number, since 2×2145756096² = 9208538447042322432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145756097) 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, 18988936 + ... + 18989048.

Almost surely, 2^2145756096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607975512).

2145756096 is an abundant number, since it is smaller than the sum of its proper divisors (5070194928).

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

2145756096 is a wasteful number, since it uses less digits than its factorization.

2145756096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2145756096 is about 46322.3066783164. The cubic root of 2145756096 is about 1289.8131043462.

The spelling of 2145756096 in words is "two billion, one hundred forty-five million, seven hundred fifty-six thousand, ninety-six".