2733948 has 72 divisors (see below), whose sum is σ = 8328320. Its totient is φ = 738720.

The previous prime is 2733947. The next prime is 2733971. The reversal of 2733948 is 8493372.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733947) 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, 4503 + ... + 5073.

2^2733948 is an apocalyptic number.

2733948 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 2733948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164160).

2733948 is an abundant number, since it is smaller than the sum of its proper divisors (5594372).

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

2733948 is a wasteful number, since it uses less digits than its factorization.

2733948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2733948 is about 1653.4654517104. The cubic root of 2733948 is about 139.8288384452.

The spelling of 2733948 in words is "two million, seven hundred thirty-three thousand, nine hundred forty-eight".