2438780064 has 96 divisors (see below), whose sum is σ = 7344691200. Its totient is φ = 694094592.

The previous prime is 2438780051. The next prime is 2438780077. The reversal of 2438780064 is 4600878342.

It is an interprime number because it is at equal distance from previous prime (2438780051) and next prime (2438780077).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2438779998 and 2438780025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169837 + ... + 183635.

It is an arithmetic number, because the mean of its divisors is an integer number (76507200).

Almost surely, 2^2438780064 is an apocalyptic number.

2438780064 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 2438780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672345600).

2438780064 is an abundant number, since it is smaller than the sum of its proper divisors (4905911136).

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

2438780064 is a wasteful number, since it uses less digits than its factorization.

2438780064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2438780064 is about 49384.0061558396. The cubic root of 2438780064 is about 1346.0386966378.

The spelling of 2438780064 in words is "two billion, four hundred thirty-eight million, seven hundred eighty thousand, sixty-four".