2667048720 has 240 divisors, whose sum is σ = 9880950912. Its totient is φ = 582912000.

The previous prime is 2667048701. The next prime is 2667048737. The reversal of 2667048720 is 278407662.

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

It is a super-2 number, since 2×2667048720² = 14226297749707276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 887220 + ... + 890220.

Almost surely, 2^2667048720 is an apocalyptic number.

2667048720 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 2667048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940475456).

2667048720 is an abundant number, since it is smaller than the sum of its proper divisors (7213902192).

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

2667048720 is a wasteful number, since it uses less digits than its factorization.

2667048720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2667048720 is about 51643.4770324385. The cubic root of 2667048720 is about 1386.7887707853.

The spelling of 2667048720 in words is "two billion, six hundred sixty-seven million, forty-eight thousand, seven hundred twenty".