42540000 has 120 divisors (see below), whose sum is σ = 139736520. Its totient is φ = 11328000.

The previous prime is 42539989. The next prime is 42540019. The reversal of 42540000 is 4524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59646 + ... + 60354.

It is an arithmetic number, because the mean of its divisors is an integer number (1164471).

Almost surely, 2^42540000 is an apocalyptic number.

42540000 is a gapful number since it is divisible by the number (40) 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 42540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69868260).

42540000 is an abundant number, since it is smaller than the sum of its proper divisors (97196520).

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

42540000 is an equidigital number, since it uses as much as digits as its factorization.

42540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42540000 is about 6522.2695436481. The cubic root of 42540000 is about 349.0860508715.

Adding to 42540000 its reverse (4524), we get a palindrome (42544524).

The spelling of 42540000 in words is "forty-two million, five hundred forty thousand".