2690418240 has 392 divisors, whose sum is σ = 10127650560. Its totient is φ = 678564864.

The previous prime is 2690418239. The next prime is 2690418251. The reversal of 2690418240 is 428140962.

It is a super-2 number, since 2×2690418240² = 14476700612249395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2690418195 and 2690418204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432017 + ... + 4432623.

Almost surely, 2^2690418240 is an apocalyptic number.

2690418240 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 2690418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063825280).

2690418240 is an abundant number, since it is smaller than the sum of its proper divisors (7437232320).

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

2690418240 is an equidigital number, since it uses as much as digits as its factorization.

2690418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2690418240 is about 51869.2417526996. The cubic root of 2690418240 is about 1390.8274906517.

The spelling of 2690418240 in words is "two billion, six hundred ninety million, four hundred eighteen thousand, two hundred forty".