2052610560 has 960 divisors, whose sum is σ = 9651882240. Its totient is φ = 389283840.

The previous prime is 2052610559. The next prime is 2052610591. The reversal of 2052610560 is 650162502.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2052610560² = 8426420222047027200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062996 + ... + 23063084.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2^2052610560 is an apocalyptic number.

2052610560 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 2052610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2052610560 is an abundant number, since it is smaller than the sum of its proper divisors (7599271680).

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

2052610560 is a wasteful number, since it uses less digits than its factorization.

2052610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2052610560 is about 45305.7453310284. The cubic root of 2052610560 is about 1270.8730971081.

The spelling of 2052610560 in words is "two billion, fifty-two million, six hundred ten thousand, five hundred sixty".