2240964960 has 96 divisors (see below), whose sum is σ = 7602063840. Its totient is φ = 551620608.

The previous prime is 2240964959. The next prime is 2240964961. The reversal of 2240964960 is 694690422.

It is an interprime number because it is at equal distance from previous prime (2240964959) and next prime (2240964961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240964961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173325 + ... + 185804.

It is an arithmetic number, because the mean of its divisors is an integer number (79188165).

Almost surely, 2^2240964960 is an apocalyptic number.

2240964960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240964960 is an abundant number, since it is smaller than the sum of its proper divisors (5361098880).

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

2240964960 is a wasteful number, since it uses less digits than its factorization.

2240964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359160 (or 359152 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2240964960 is about 47338.8314177695. The cubic root of 2240964960 is about 1308.6143809209.

The spelling of 2240964960 in words is "two billion, two hundred forty million, nine hundred sixty-four thousand, nine hundred sixty".