2661291360 has 576 divisors, whose sum is σ = 11676607488. Its totient is φ = 536481792.

The previous prime is 2661291323. The next prime is 2661291361. The reversal of 2661291360 is 631921662.

It is a happy number.

2661291360 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 291 + 360 = 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 (2661291361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013479 + ... + 3014361.

It is an arithmetic number, because the mean of its divisors is an integer number (20271888).

Almost surely, 2^2661291360 is an apocalyptic number.

2661291360 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 2661291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838303744).

2661291360 is an abundant number, since it is smaller than the sum of its proper divisors (9015316128).

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

2661291360 is a wasteful number, since it uses less digits than its factorization.

2661291360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2661291360 is about 51587.7055120694. The cubic root of 2661291360 is about 1385.7901645689.

The spelling of 2661291360 in words is "two billion, six hundred sixty-one million, two hundred ninety-one thousand, three hundred sixty".