2440960704 has 672 divisors, whose sum is σ = 9538045440. Its totient is φ = 595703808.

The previous prime is 2440960699. The next prime is 2440960729. The reversal of 2440960704 is 4070690442.

2440960704 is a `hidden beast` number, since 2 + 4 + 40 + 9 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56766507 + ... + 56766549.

It is an arithmetic number, because the mean of its divisors is an integer number (14193520).

Almost surely, 2^2440960704 is an apocalyptic number.

2440960704 is a gapful number since it is divisible by the number (24) 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 2440960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769022720).

2440960704 is an abundant number, since it is smaller than the sum of its proper divisors (7097084736).

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

2440960704 is a wasteful number, since it uses less digits than its factorization.

2440960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2440960704 is about 49406.0796258922. The cubic root of 2440960704 is about 1346.4397648405.

The spelling of 2440960704 in words is "two billion, four hundred forty million, nine hundred sixty thousand, seven hundred four".