2470 has 16 divisors (see below), whose sum is σ = 5040. Its totient is φ = 864.

The previous prime is 2467. The next prime is 2473. The reversal of 2470 is 742.

2470 = T_{14} + T_{15} + ... +
T_{25}.

2470 = 1^{2} + 2^{2} + ... + 19^{2}.

2470 is nontrivially palindromic in base 4 and base 15.

2470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2467) and next prime (2473).

It is a super-2 number, since 2×2470^{2} = 12201800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

2470 is an undulating number in base 8 and base 15.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is a zygodrome in base 9.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 139.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

2^{2470} is an apocalyptic number.

2470 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

2470 is a wasteful number, since it uses less digits than its factorization.

2470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39.

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2470 is about 49.6990945592. The cubic root of 2470 is about 13.5175811179.

2470 divided by its sum of digits (13) gives a triangular number (190 = T_{19}).

Subtracting from 2470 its reverse (742), we obtain a cube (1728 = 12^{3}).

The spelling of 2470 in words is "two thousand, four hundred seventy", and thus it is an iban number.

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