2787642 has 96 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 738720.

The previous prime is 2787619. The next prime is 2787649. The reversal of 2787642 is 2467872.

2787642 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 642 = 666.

Its product of digits (37632) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2787597 and 2787606.

It is not an unprimeable number, because it can be changed into a prime (2787649) 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, 146709 + ... + 146727.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

2^2787642 is an apocalyptic number.

2787642 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 2787642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2787642 is an abundant number, since it is smaller than the sum of its proper divisors (4893318).

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

2787642 is a wasteful number, since it uses less digits than its factorization.

2787642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2787642 is about 1669.6233108100. The cubic root of 2787642 is about 140.7383104519.

The spelling of 2787642 in words is "two million, seven hundred eighty-seven thousand, six hundred forty-two".