2135616420 has 96 divisors (see below), whose sum is σ = 6900461568. Its totient is φ = 483391872.

The previous prime is 2135616419. The next prime is 2135616421. The reversal of 2135616420 is 246165312.

It is an interprime number because it is at equal distance from previous prime (2135616419) and next prime (2135616421).

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

It is not an unprimeable number, because it can be changed into a prime (2135616421) 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 31 ways as a sum of consecutive naturals, for example, 18577 + ... + 67943.

It is an arithmetic number, because the mean of its divisors is an integer number (71879808).

Almost surely, 2^2135616420 is an apocalyptic number.

2135616420 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 2135616420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450230784).

2135616420 is an abundant number, since it is smaller than the sum of its proper divisors (4764845148).

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

2135616420 is a wasteful number, since it uses less digits than its factorization.

2135616420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49489 (or 49487 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2135616420 is about 46212.7300643448. The cubic root of 2135616420 is about 1287.7782440709.

The spelling of 2135616420 in words is "two billion, one hundred thirty-five million, six hundred sixteen thousand, four hundred twenty".