2948880 has 80 divisors (see below), whose sum is σ = 9981504. Its totient is φ = 714240.

The previous prime is 2948873. The next prime is 2948887. The reversal of 2948880 is 888492.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2948873) and next prime (2948887).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2948887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082 + ... + 3198.

2^2948880 is an apocalyptic number.

2948880 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 2948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990752).

2948880 is an abundant number, since it is smaller than the sum of its proper divisors (7032624).

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

2948880 is a wasteful number, since it uses less digits than its factorization.

2948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2948880 is about 1717.2303281738. The cubic root of 2948880 is about 143.4010616760.

It can be divided in two parts, 2948 and 880, that added together give a triangular number (3828 = T₈₇).

The spelling of 2948880 in words is "two million, nine hundred forty-eight thousand, eight hundred eighty".