2106375744 has 168 divisors, whose sum is σ = 6216969024. Its totient is φ = 628812800.

The previous prime is 2106375737. The next prime is 2106375751. The reversal of 2106375744 is 4475736012.

It is an interprime number because it is at equal distance from previous prime (2106375737) and next prime (2106375751).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648834 + ... + 1650110.

It is an arithmetic number, because the mean of its divisors is an integer number (37005768).

Almost surely, 2^2106375744 is an apocalyptic number.

2106375744 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 2106375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108484512).

2106375744 is an abundant number, since it is smaller than the sum of its proper divisors (4110593280).

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

2106375744 is a wasteful number, since it uses less digits than its factorization.

2106375744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2106375744 is about 45895.2692986979. The cubic root of 2106375744 is about 1281.8738310239.

The spelling of 2106375744 in words is "two billion, one hundred six million, three hundred seventy-five thousand, seven hundred forty-four".