2134211640 has 64 divisors (see below), whose sum is σ = 6984696960. Its totient is φ = 517384320.

The previous prime is 2134211633. The next prime is 2134211641. The reversal of 2134211640 is 461124312.

It is a super-2 number, since 2×2134211640² = 9109718648622979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2134211640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134211641) 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, 807094 + ... + 809733.

It is an arithmetic number, because the mean of its divisors is an integer number (109135890).

Almost surely, 2^2134211640 is an apocalyptic number.

2134211640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134211640 is an abundant number, since it is smaller than the sum of its proper divisors (4850485320).

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

2134211640 is a wasteful number, since it uses less digits than its factorization.

2134211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616852 (or 1616848 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2134211640 is about 46197.5285053216. The cubic root of 2134211640 is about 1287.4958210189.

Adding to 2134211640 its reverse (461124312), we get a palindrome (2595335952).

The spelling of 2134211640 in words is "two billion, one hundred thirty-four million, two hundred eleven thousand, six hundred forty".