2267649146880 has 1520 divisors, whose sum is σ = 9208258101504. Its totient is φ = 529992253440.

The previous prime is 2267649146837. The next prime is 2267649146891. The reversal of 2267649146880 is 886419467622.

2267649146880 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 6 + 4 + 91 + 468 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42785832934 + ... + 42785832986.

Almost surely, 2^{2267649146880} is an apocalyptic number.

2267649146880 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 2267649146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604129050752).

2267649146880 is an abundant number, since it is smaller than the sum of its proper divisors (6940608954624).

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

2267649146880 is an frugal number, since it uses more digits than its factorization.

2267649146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2267649146880 in words is "two trillion, two hundred sixty-seven billion, six hundred forty-nine million, one hundred forty-six thousand, eight hundred eighty".