2667454992 has 270 divisors, whose sum is σ = 8321109342. Its totient is φ = 797423616.

The previous prime is 2667454943. The next prime is 2667454997. The reversal of 2667454992 is 2994547662.

2667454992 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 4 + 549 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2227462416 + 439992576 = 47196^2 + 20976^2 .

It is a super-2 number, since 2×2667454992² = 14230632268691440128, which contains 22 as substring.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2667454997) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27499488 + ... + 27499584.

Almost surely, 2^2667454992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667454992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160554671).

2667454992 is an abundant number, since it is smaller than the sum of its proper divisors (5653654350).

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

2667454992 is a wasteful number, since it uses less digits than its factorization.

2667454992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 144 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2667454992 is about 51647.4103126188. The cubic root of 2667454992 is about 1386.8591838025.

The spelling of 2667454992 in words is "two billion, six hundred sixty-seven million, four hundred fifty-four thousand, nine hundred ninety-two".