2756952 has 72 divisors (see below), whose sum is σ = 8285940. Its totient is φ = 821280.

The previous prime is 2756939. The next prime is 2756959. The reversal of 2756952 is 2596572.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756959) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46699 + ... + 46757.

2^2756952 is an apocalyptic number.

2756952 is a gapful number since it is divisible by the number (22) 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 2756952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142970).

2756952 is an abundant number, since it is smaller than the sum of its proper divisors (5528988).

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

2756952 is a wasteful number, since it uses less digits than its factorization.

2756952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 75 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2756952 is about 1660.4071789775. The cubic root of 2756952 is about 140.2199264448.

It can be divided in two parts, 275 and 6952, that added together give a palindrome (7227).

The spelling of 2756952 in words is "two million, seven hundred fifty-six thousand, nine hundred fifty-two".