2690667720 has 320 divisors, whose sum is σ = 9835499520. Its totient is φ = 655796736.

The previous prime is 2690667709. The next prime is 2690667731. The reversal of 2690667720 is 277660962.

It is an interprime number because it is at equal distance from previous prime (2690667709) and next prime (2690667731).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5348989 + ... + 5349491.

It is an arithmetic number, because the mean of its divisors is an integer number (30735936).

Almost surely, 2^2690667720 is an apocalyptic number.

2690667720 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 2690667720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2690667720 is an abundant number, since it is smaller than the sum of its proper divisors (7144831800).

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

2690667720 is a wasteful number, since it uses less digits than its factorization.

2690667720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2690667720 is about 51871.6465904062. The cubic root of 2690667720 is about 1390.8704793727.

The spelling of 2690667720 in words is "two billion, six hundred ninety million, six hundred sixty-seven thousand, seven hundred twenty".