2263980 has 48 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 595968.

The previous prime is 2263969. The next prime is 2264027. The reversal of 2263980 is 893622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2⁹ + 2¹⁹ + 6⁸ + 3 + 9⁵ + 8³ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

2^2263980 is an apocalyptic number.

2263980 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 2263980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

2263980 is an abundant number, since it is smaller than the sum of its proper divisors (4156980).

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

2263980 is a wasteful number, since it uses less digits than its factorization.

2263980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2263980 is about 1504.6527838674. The cubic root of 2263980 is about 131.3079018900.

2263980 divided by its sum of digits (30) gives a triangular number (75466 = T₃₈₈).

The spelling of 2263980 in words is "two million, two hundred sixty-three thousand, nine hundred eighty".