2136274944 has 192 divisors, whose sum is σ = 6117340320. Its totient is φ = 660602880.

The previous prime is 2136274939. The next prime is 2136274949. The reversal of 2136274944 is 4494726312.

It is an interprime number because it is at equal distance from previous prime (2136274939) and next prime (2136274949).

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (290304) is a multiple of the sum of its prime factors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2136274896 and 2136274905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136274949) 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, 11802534 + ... + 11802714.

Almost surely, 2^2136274944 is an apocalyptic number.

2136274944 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 2136274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058670160).

2136274944 is an abundant number, since it is smaller than the sum of its proper divisors (3981065376).

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

2136274944 is a wasteful number, since it uses less digits than its factorization.

2136274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 2136274944 is about 46219.8544350802. The cubic root of 2136274944 is about 1287.9105939509.

The spelling of 2136274944 in words is "two billion, one hundred thirty-six million, two hundred seventy-four thousand, nine hundred forty-four".