2137542 has 32 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 640320.

The previous prime is 2137517. The next prime is 2137547. The reversal of 2137542 is 2457312.

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 3¹² + 7³ + 5³ + 4¹⁰ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137547) 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, 9058 + ... + 9290.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

2^2137542 is an apocalyptic number.

2137542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2137542 is an abundant number, since it is smaller than the sum of its proper divisors (2579898).

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

2137542 is a wasteful number, since it uses less digits than its factorization.

2137542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388.

The product of its digits is 1680, while the sum is 24.

The square root of 2137542 is about 1462.0335153477. The cubic root of 2137542 is about 128.8165169847.

The spelling of 2137542 in words is "two million, one hundred thirty-seven thousand, five hundred forty-two".