42577002 has 96 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 12488256.

The previous prime is 42577001. The next prime is 42577013. The reversal of 42577002 is 20077524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42577001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145168 + ... + 145460.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 2^42577002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42577002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

42577002 is an abundant number, since it is smaller than the sum of its proper divisors (65295126).

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

42577002 is a wasteful number, since it uses less digits than its factorization.

42577002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42577002 is about 6525.1055163882. The cubic root of 42577002 is about 349.1872351589.

The spelling of 42577002 in words is "forty-two million, five hundred seventy-seven thousand, two".