2145216540 has 24 divisors (see below), whose sum is σ = 6006606480. Its totient is φ = 572057728.

The previous prime is 2145216517. The next prime is 2145216547. The reversal of 2145216540 is 456125412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2145216498 and 2145216507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145216547) 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 7 ways as a sum of consecutive naturals, for example, 17876745 + ... + 17876864.

It is an arithmetic number, because the mean of its divisors is an integer number (250275270).

Almost surely, 2^2145216540 is an apocalyptic number.

2145216540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145216540 is an abundant number, since it is smaller than the sum of its proper divisors (3861389940).

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

2145216540 is a wasteful number, since it uses less digits than its factorization.

2145216540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35753621 (or 35753619 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2145216540 is about 46316.4823793863. The cubic root of 2145216540 is about 1289.7049863205.

The spelling of 2145216540 in words is "two billion, one hundred forty-five million, two hundred sixteen thousand, five hundred forty".