2408772240 has 240 divisors, whose sum is σ = 9373173888. Its totient is φ = 542951424.

The previous prime is 2408772239. The next prime is 2408772257. The reversal of 2408772240 is 422778042.

2408772240 is a `hidden beast` number, since 2 + 408 + 7 + 7 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2408772195 and 2408772204.

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, 364647 + ... + 371193.

Almost surely, 2^2408772240 is an apocalyptic number.

2408772240 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 2408772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686586944).

2408772240 is an abundant number, since it is smaller than the sum of its proper divisors (6964401648).

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

2408772240 is a wasteful number, since it uses less digits than its factorization.

2408772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2408772240 is about 49079.2444929626. The cubic root of 2408772240 is about 1340.4951463384.

The spelling of 2408772240 in words is "two billion, four hundred eight million, seven hundred seventy-two thousand, two hundred forty".