2415420 has 144 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 544320.

The previous prime is 2415409. The next prime is 2415431. The reversal of 2415420 is 245142.

2415420 is a `hidden beast` number, since 241 + 5 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (2415409) and next prime (2415431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2415393 and 2415402.

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, 33985 + ... + 34055.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

2^2415420 is an apocalyptic number.

2415420 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 2415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2415420 is an abundant number, since it is smaller than the sum of its proper divisors (6390468).

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

2415420 is a wasteful number, since it uses less digits than its factorization.

2415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2415420 is about 1554.1621537021. The cubic root of 2415420 is about 134.1727185436.

The spelling of 2415420 in words is "two million, four hundred fifteen thousand, four hundred twenty".