2145405240 has 192 divisors, whose sum is σ = 7768949760. Its totient is φ = 508988160.

The previous prime is 2145405233. The next prime is 2145405271. The reversal of 2145405240 is 425045412.

2145405240 is a `hidden beast` number, since 2 + 14 + 5 + 405 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180357 + ... + 191883.

It is an arithmetic number, because the mean of its divisors is an integer number (40463280).

Almost surely, 2^2145405240 is an apocalyptic number.

2145405240 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 2145405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884474880).

2145405240 is an abundant number, since it is smaller than the sum of its proper divisors (5623544520).

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

2145405240 is a wasteful number, since it uses less digits than its factorization.

2145405240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11602 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2145405240 is about 46318.5194063886. The cubic root of 2145405240 is about 1289.7428007153.

The spelling of 2145405240 in words is "two billion, one hundred forty-five million, four hundred five thousand, two hundred forty".