2264706092880 has 2520 divisors, whose sum is σ = 10548960823296. Its totient is φ = 442310077440.

The previous prime is 2264706092849. The next prime is 2264706092911. The reversal of 2264706092880 is 882906074622.

2264706092880 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 7 + 0 + 609 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2264706092849) and next prime (2264706092911).

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 17832331377 + ... + 17832331503.

Almost surely, 2^{2264706092880} is an apocalyptic number.

2264706092880 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 2264706092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274480411648).

2264706092880 is an abundant number, since it is smaller than the sum of its proper divisors (8284254730416).

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

2264706092880 is a wasteful number, since it uses less digits than its factorization.

2264706092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2264706092880 in words is "two trillion, two hundred sixty-four billion, seven hundred six million, ninety-two thousand, eight hundred eighty".