Search a number
2882880 = 2632571113

2882880 has 336 divisors, whose sum is σ = 13313664. Its totient is φ = 552960.

The previous prime is 2882863. The next prime is 2882897. The reversal of 2882880 is 882882.

It is an interprime number because it is at equal distance from previous prime (2882863) and next prime (2882897).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221754 + ... + 221766.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2882880 is a highly composite number, because it has more divisors than any smaller number.

22882880 is an apocalyptic number.

2882880 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 2882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

2882880 is an abundant number, since it is smaller than the sum of its proper divisors (10430784).

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

2882880 is a wasteful number, since it uses less digits than its factorization.

2882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2882880 is about 1697.9045909591. The cubic root of 2882880 is about 142.3231416240.

The spelling of 2882880 in words is "two million, eight hundred eighty-two thousand, eight hundred eighty".