2405040120 has 128 divisors (see below), whose sum is σ = 9162086400. Its totient is φ = 549721728.

The previous prime is 2405040097. The next prime is 2405040137. The reversal of 2405040120 is 210405042.

2405040120 is a `hidden beast` number, since 2 + 40 + 504 + 0 + 120 = 666.

It is a super-2 number, since 2×2405040120² = 11568435957619228800, which contains 22 as substring.

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 = 2405040093 and 2405040102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151504 + ... + 166623.

It is an arithmetic number, because the mean of its divisors is an integer number (71578800).

Almost surely, 2^2405040120 is an apocalyptic number.

2405040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405040120 is an abundant number, since it is smaller than the sum of its proper divisors (6757046280).

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

2405040120 is a wasteful number, since it uses less digits than its factorization.

2405040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318154 (or 318144 counting only the distinct ones).

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

The square root of 2405040120 is about 49041.2083864172. The cubic root of 2405040120 is about 1339.8024732977.

Adding to 2405040120 its reverse (210405042), we get a palindrome (2615445162).

The spelling of 2405040120 in words is "two billion, four hundred five million, forty thousand, one hundred twenty".