2735964 has 144 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 695520.

The previous prime is 2735959. The next prime is 2735977. The reversal of 2735964 is 4695372.

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

It is a d-powerful number, because it can be written as 2¹⁹ + 7 + 3¹³ + 5⁷ + 9⁶ + 6⁵ + 4 .

Its product of digits (45360) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58189 + ... + 58235.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2^2735964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2735964 is an abundant number, since it is smaller than the sum of its proper divisors (6456996).

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

2735964 is a wasteful number, since it uses less digits than its factorization.

2735964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2735964 is about 1654.0749680713. The cubic root of 2735964 is about 139.8631997031.

The spelling of 2735964 in words is "two million, seven hundred thirty-five thousand, nine hundred sixty-four".