2145741640 has 64 divisors (see below), whose sum is σ = 5522204160. Its totient is φ = 735072000.

The previous prime is 2145741613. The next prime is 2145741641. The reversal of 2145741640 is 461475412.

It is a junction number, because it is equal to n+sod(n) for n = 2145741596 and 2145741605.

It is not an unprimeable number, because it can be changed into a prime (2145741641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449265 + ... + 454015.

It is an arithmetic number, because the mean of its divisors is an integer number (86284440).

Almost surely, 2^2145741640 is an apocalyptic number.

2145741640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145741640 is an abundant number, since it is smaller than the sum of its proper divisors (3376462520).

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

2145741640 is a wasteful number, since it uses less digits than its factorization.

2145741640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2145741640 is about 46322.1506409191. The cubic root of 2145741640 is about 1289.8102078411.

The spelling of 2145741640 in words is "two billion, one hundred forty-five million, seven hundred forty-one thousand, six hundred forty".