42510720 has 128 divisors (see below), whose sum is σ = 154909440. Its totient is φ = 9713664.

The previous prime is 42510719. The next prime is 42510737. The reversal of 42510720 is 2701524.

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

It is a super-2 number, since 2×42510720² = 3614322629836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11859 + ... + 15021.

It is an arithmetic number, because the mean of its divisors is an integer number (1210230).

Almost surely, 2^42510720 is an apocalyptic number.

42510720 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 42510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77454720).

42510720 is an abundant number, since it is smaller than the sum of its proper divisors (112398720).

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

42510720 is a wasteful number, since it uses less digits than its factorization.

42510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 42510720 is about 6520.0245398311. The cubic root of 42510720 is about 349.0059412841.

The spelling of 42510720 in words is "forty-two million, five hundred ten thousand, seven hundred twenty".