2693628 has 72 divisors (see below), whose sum is σ = 8139600. Its totient is φ = 768096.

The previous prime is 2693609. The next prime is 2693629. The reversal of 2693628 is 8263962.

2693628 is a `hidden beast` number, since 26 + 9 + 3 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2693592 and 2693601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2693629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5038 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (113050).

2^2693628 is an apocalyptic number.

2693628 is a gapful number since it is divisible by the number (28) 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 2693628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069800).

2693628 is an abundant number, since it is smaller than the sum of its proper divisors (5445972).

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

2693628 is a wasteful number, since it uses less digits than its factorization.

2693628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2693628 is about 1641.2275893367. The cubic root of 2693628 is about 139.1380372261.

It can be divided in two parts, 2693 and 628, that added together give a triangular number (3321 = T₈₁).

The spelling of 2693628 in words is "two million, six hundred ninety-three thousand, six hundred twenty-eight".