2945880 has 144 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 669312.

The previous prime is 2945869. The next prime is 2945933. The reversal of 2945880 is 885492.

2945880 = 151² + 152² + ... + 230².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17557 + ... + 17723.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2^2945880 is an apocalyptic number.

2945880 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 2945880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

2945880 is an abundant number, since it is smaller than the sum of its proper divisors (8258040).

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

2945880 is a wasteful number, since it uses less digits than its factorization.

2945880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

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

The square root of 2945880 is about 1716.3566063030. The cubic root of 2945880 is about 143.3524161841.

The spelling of 2945880 in words is "two million, nine hundred forty-five thousand, eight hundred eighty".