2467920 has 160 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 516096.

The previous prime is 2467919. The next prime is 2467921. The reversal of 2467920 is 297642.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2467919) and next prime (2467921).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21784 + ... + 21896.

2^2467920 is an apocalyptic number.

2467920 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 2467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

2467920 is an abundant number, since it is smaller than the sum of its proper divisors (7031472).

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

2467920 is a wasteful number, since it uses less digits than its factorization.

2467920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2467920 is about 1570.9614890251. The cubic root of 2467920 is about 135.1378564353.

The spelling of 2467920 in words is "two million, four hundred sixty-seven thousand, nine hundred twenty".