2575883520 has 432 divisors, whose sum is σ = 10790357760. Its totient is φ = 553844736.

The previous prime is 2575883509. The next prime is 2575883543. The reversal of 2575883520 is 253885752.

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

It is a zygodrome in base 16.

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, 1369941 + ... + 1371819.

It is an arithmetic number, because the mean of its divisors is an integer number (24977680).

Almost surely, 2^2575883520 is an apocalyptic number.

2575883520 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 2575883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395178880).

2575883520 is an abundant number, since it is smaller than the sum of its proper divisors (8214474240).

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

2575883520 is a wasteful number, since it uses less digits than its factorization.

2575883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 2575883520 is about 50753.1626600747. The cubic root of 2575883520 is about 1370.8041383480.

It can be divided in two parts, 25758 and 83520, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 2575883520 in words is "two billion, five hundred seventy-five million, eight hundred eighty-three thousand, five hundred twenty".