2135720 has 32 divisors (see below), whose sum is σ = 4860000. Its totient is φ = 844608.

The previous prime is 2135719. The next prime is 2135723. The reversal of 2135720 is 275312.

It is a super-2 number, since 2×2135720² = 9122599836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2135692 and 2135701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4031 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (151875).

2^2135720 is an apocalyptic number.

2135720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135720 is an abundant number, since it is smaller than the sum of its proper divisors (2724280).

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

2135720 is a wasteful number, since it uses less digits than its factorization.

2135720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2135720 is about 1461.4102777797. The cubic root of 2135720 is about 128.7799063339.

The spelling of 2135720 in words is "two million, one hundred thirty-five thousand, seven hundred twenty".