2657145330 has 128 divisors (see below), whose sum is σ = 8113881600. Its totient is φ = 606154752.

The previous prime is 2657145319. The next prime is 2657145331. The reversal of 2657145330 is 335417562.

2657145330 is a `hidden beast` number, since 2 + 6 + 571 + 4 + 53 + 30 = 666.

2657145330 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 not an unprimeable number, because it can be changed into a prime (2657145331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270926 + ... + 1273014.

It is an arithmetic number, because the mean of its divisors is an integer number (63389700).

Almost surely, 2^2657145330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657145330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056940800).

2657145330 is an abundant number, since it is smaller than the sum of its proper divisors (5456736270).

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

2657145330 is a wasteful number, since it uses less digits than its factorization.

2657145330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2657145330 is about 51547.5055652550. The cubic root of 2657145330 is about 1385.0701489751.

The spelling of 2657145330 in words is "two billion, six hundred fifty-seven million, one hundred forty-five thousand, three hundred thirty".