2135405184 has 128 divisors (see below), whose sum is σ = 6218311680. Its totient is φ = 643906560.

The previous prime is 2135405179. The next prime is 2135405189. The reversal of 2135405184 is 4815045312.

It is an interprime number because it is at equal distance from previous prime (2135405179) and next prime (2135405189).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2135405189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940819 + ... + 943085.

It is an arithmetic number, because the mean of its divisors is an integer number (48580560).

Almost surely, 2^2135405184 is an apocalyptic number.

2135405184 is a gapful number since it is divisible by the number (24) 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 2135405184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109155840).

2135405184 is an abundant number, since it is smaller than the sum of its proper divisors (4082906496).

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

2135405184 is a wasteful number, since it uses less digits than its factorization.

2135405184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2135405184 is about 46210.4445336766. Note that the first 3 decimals coincide. The cubic root of 2135405184 is about 1287.7357841841.

The spelling of 2135405184 in words is "two billion, one hundred thirty-five million, four hundred five thousand, one hundred eighty-four".