2564177376 has 96 divisors (see below), whose sum is σ = 7250221440. Its totient is φ = 790884864.

The previous prime is 2564177353. The next prime is 2564177377. The reversal of 2564177376 is 6737714652.

2564177376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564177377) 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, 62086 + ... + 94778.

It is an arithmetic number, because the mean of its divisors is an integer number (75523140).

Almost surely, 2^2564177376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564177376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625110720).

2564177376 is an abundant number, since it is smaller than the sum of its proper divisors (4686044064).

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

2564177376 is a wasteful number, since it uses less digits than its factorization.

2564177376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32768 (or 32760 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The square root of 2564177376 is about 50637.7070570933. The cubic root of 2564177376 is about 1368.7244376119.

The spelling of 2564177376 in words is "two billion, five hundred sixty-four million, one hundred seventy-seven thousand, three hundred seventy-six".