2606461560 has 96 divisors (see below), whose sum is σ = 8630893440. Its totient is φ = 681937152.

The previous prime is 2606461547. The next prime is 2606461567. The reversal of 2606461560 is 651646062.

2606461560 = T₉₈₉₁ + T₉₈₉₂ + ... + T₉₉₄₃.

It is a happy number.

2606461560 is a `hidden beast` number, since 2 + 6 + 0 + 646 + 1 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606461567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49224 + ... + 87383.

It is an arithmetic number, because the mean of its divisors is an integer number (89905140).

Almost surely, 2^2606461560 is an apocalyptic number.

2606461560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2606461560 is an abundant number, since it is smaller than the sum of its proper divisors (6024431880).

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

2606461560 is a wasteful number, since it uses less digits than its factorization.

2606461560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136677 (or 136670 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2606461560 is about 51053.5166271629. The cubic root of 2606461560 is about 1376.2070388280.

It can be divided in two parts, 2606 and 461560, that added together give a triangular number (464166 = T₉₆₃).

The spelling of 2606461560 in words is "two billion, six hundred six million, four hundred sixty-one thousand, five hundred sixty".