2667424760 has 384 divisors, whose sum is σ = 8494295040. Its totient is φ = 740275200.

The previous prime is 2667424733. The next prime is 2667424769. The reversal of 2667424760 is 674247662.

It is a super-2 number, since 2×2667424760² = 14230309700522115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667424769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8688527 + ... + 8688833.

It is an arithmetic number, because the mean of its divisors is an integer number (22120560).

Almost surely, 2^2667424760 is an apocalyptic number.

2667424760 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 2667424760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247147520).

2667424760 is an abundant number, since it is smaller than the sum of its proper divisors (5826870280).

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

2667424760 is a wasteful number, since it uses less digits than its factorization.

2667424760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The square root of 2667424760 is about 51647.1176349658. The cubic root of 2667424760 is about 1386.8539443907.

The spelling of 2667424760 in words is "two billion, six hundred sixty-seven million, four hundred twenty-four thousand, seven hundred sixty".