2958480 has 120 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 675072.

The previous prime is 2958479. The next prime is 2958481. The reversal of 2958480 is 848592.

It is an interprime number because it is at equal distance from previous prime (2958479) and next prime (2958481).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2958481) 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, 4747 + ... + 5333.

2^2958480 is an apocalyptic number.

2958480 is a gapful number since it is divisible by the number (20) 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 2958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

2958480 is an abundant number, since it is smaller than the sum of its proper divisors (8415792).

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

2958480 is a wasteful number, since it uses less digits than its factorization.

2958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2958480 is about 1720.0232556567. The cubic root of 2958480 is about 143.5565058905.

The spelling of 2958480 in words is "two million, nine hundred fifty-eight thousand, four hundred eighty".