2145540096 has 384 divisors, whose sum is σ = 7610803200. Its totient is φ = 583925760.

The previous prime is 2145540091. The next prime is 2145540107. The reversal of 2145540096 is 6900455412.

2145540096 is a `hidden beast` number, since 2 + 14 + 554 + 0 + 0 + 96 = 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2145540096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145540091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902536 + ... + 8902776.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800).

Almost surely, 2^2145540096 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 2145540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805401600).

2145540096 is an abundant number, since it is smaller than the sum of its proper divisors (5465263104).

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

2145540096 is a wasteful number, since it uses less digits than its factorization.

2145540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2145540096 is about 46319.9751295270. The cubic root of 2145540096 is about 1289.7698237236.

It can be divided in two parts, 2 and 145540096, that multiplied together give a palindrome (291080192).

The spelling of 2145540096 in words is "two billion, one hundred forty-five million, five hundred forty thousand, ninety-six".