2420496960 has 112 divisors (see below), whose sum is σ = 8782970496. Its totient is φ = 553254912.

The previous prime is 2420496943. The next prime is 2420496971. The reversal of 2420496960 is 696940242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173377 + ... + 186816.

Almost surely, 2^2420496960 is an apocalyptic number.

2420496960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420496960 is an abundant number, since it is smaller than the sum of its proper divisors (6362473536).

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

2420496960 is a wasteful number, since it uses less digits than its factorization.

2420496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360220 (or 360210 counting only the distinct ones).

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

The square root of 2420496960 is about 49198.5463199880. The cubic root of 2420496960 is about 1342.6665842687. Note that the first 3 decimals are identical.

The spelling of 2420496960 in words is "two billion, four hundred twenty million, four hundred ninety-six thousand, nine hundred sixty".