2420645664 has 96 divisors (see below), whose sum is σ = 6575579136. Its totient is φ = 778901760.

The previous prime is 2420645639. The next prime is 2420645707. The reversal of 2420645664 is 4665460242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627129 + ... + 1628615.

It is an arithmetic number, because the mean of its divisors is an integer number (68495616).

Almost surely, 2^2420645664 is an apocalyptic number.

2420645664 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 2420645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287789568).

2420645664 is an abundant number, since it is smaller than the sum of its proper divisors (4154933472).

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

2420645664 is a wasteful number, since it uses less digits than its factorization.

2420645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 2420645664 is about 49200.0575609419. The cubic root of 2420645664 is about 1342.6940794218.

The spelling of 2420645664 in words is "two billion, four hundred twenty million, six hundred forty-five thousand, six hundred sixty-four".