2669967360 has 576 divisors, whose sum is σ = 10195567200. Its totient is φ = 668860416.

The previous prime is 2669967347. The next prime is 2669967371. The reversal of 2669967360 is 637699662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2669967297 and 2669967306.

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, 72161262 + ... + 72161298.

Almost surely, 2^2669967360 is an apocalyptic number.

2669967360 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 2669967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097783600).

2669967360 is an abundant number, since it is smaller than the sum of its proper divisors (7525599840).

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

2669967360 is an equidigital number, since it uses as much as digits as its factorization.

2669967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 2669967360 is about 51671.7268919861. The cubic root of 2669967360 is about 1387.2944560388.

The spelling of 2669967360 in words is "two billion, six hundred sixty-nine million, nine hundred sixty-seven thousand, three hundred sixty".