2135950740 has 288 divisors, whose sum is σ = 8503971840. Its totient is φ = 420422400.

The previous prime is 2135950699. The next prime is 2135950741. The reversal of 2135950740 is 470595312.

2135950740 is a `hidden beast` number, since 21 + 3 + 595 + 0 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2135950695 and 2135950704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135950741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259285 + ... + 267395.

It is an arithmetic number, because the mean of its divisors is an integer number (29527680).

Almost surely, 2^2135950740 is an apocalyptic number.

2135950740 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 2135950740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251985920).

2135950740 is an abundant number, since it is smaller than the sum of its proper divisors (6368021100).

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

2135950740 is a wasteful number, since it uses less digits than its factorization.

2135950740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2135950740 is about 46216.3471079228. The cubic root of 2135950740 is about 1287.8454389652.

The spelling of 2135950740 in words is "two billion, one hundred thirty-five million, nine hundred fifty thousand, seven hundred forty".