2683961280 has 1344 divisors, whose sum is σ = 13313664000. Its totient is φ = 487710720.

The previous prime is 2683961279. The next prime is 2683961303. The reversal of 2683961280 is 821693862.

2683961280 is a `hidden beast` number, since 26 + 8 + 3 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141261111 + ... + 141261129.

It is an arithmetic number, because the mean of its divisors is an integer number (9906000).

Almost surely, 2^2683961280 is an apocalyptic number.

2683961280 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 2683961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

2683961280 is an abundant number, since it is smaller than the sum of its proper divisors (10629702720).

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

2683961280 is a wasteful number, since it uses less digits than its factorization.

2683961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2683961280 is about 51806.9616943515. The cubic root of 2683961280 is about 1389.7139448963.

The spelling of 2683961280 in words is "two billion, six hundred eighty-three million, nine hundred sixty-one thousand, two hundred eighty".