2213807760 has 240 divisors, whose sum is σ = 7757253504. Its totient is φ = 586745856.

The previous prime is 2213807759. The next prime is 2213807777. The reversal of 2213807760 is 677083122.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 5112504 + ... + 5112936.

Almost surely, 2^2213807760 is an apocalyptic number.

2213807760 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 2213807760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878626752).

2213807760 is an abundant number, since it is smaller than the sum of its proper divisors (5543445744).

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

2213807760 is a wasteful number, since it uses less digits than its factorization.

2213807760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2213807760 is about 47051.1185839402. The cubic root of 2213807760 is about 1303.3067218239.

The spelling of 2213807760 in words is "two billion, two hundred thirteen million, eight hundred seven thousand, seven hundred sixty".