2572764480 has 336 divisors, whose sum is σ = 10397971584. Its totient is φ = 575631360.

The previous prime is 2572764457. The next prime is 2572764497. The reversal of 2572764480 is 844672752.

It is a happy number.

2572764480 is a `hidden beast` number, since 2 + 572 + 76 + 4 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408717 + ... + 414963.

It is an arithmetic number, because the mean of its divisors is an integer number (30946344).

Almost surely, 2^2572764480 is an apocalyptic number.

2572764480 is a gapful number since it is divisible by the number (20) 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 2572764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198985792).

2572764480 is an abundant number, since it is smaller than the sum of its proper divisors (7825207104).

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

2572764480 is a wasteful number, since it uses less digits than its factorization.

2572764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2572764480 is about 50722.4258094977. The cubic root of 2572764480 is about 1370.2506299063.

The spelling of 2572764480 in words is "two billion, five hundred seventy-two million, seven hundred sixty-four thousand, four hundred eighty".