2410272 has 36 divisors (see below), whose sum is σ = 6855030. Its totient is φ = 803328.

The previous prime is 2410271. The next prime is 2410273. The reversal of 2410272 is 2720142.

It is an interprime number because it is at equal distance from previous prime (2410271) and next prime (2410273).

It can be written as a sum of positive squares in only one way, i.e., 1838736 + 571536 = 1356^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2410272³ = 42006782833573330944, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2410271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3897 + ... + 4472.

2^2410272 is an apocalyptic number.

It is an amenable number.

2410272 is an abundant number, since it is smaller than the sum of its proper divisors (4444758).

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

2410272 is a wasteful number, since it uses less digits than its factorization.

2410272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2410272 is about 1552.5050724555. The cubic root of 2410272 is about 134.0773296879.

It can be divided in two parts, 24 and 10272, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 2410272 in words is "two million, four hundred ten thousand, two hundred seventy-two".