2690709840 has 640 divisors, whose sum is σ = 11615923200. Its totient is φ = 567710208.

The previous prime is 2690709761. The next prime is 2690709841. The reversal of 2690709840 is 489070962.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690709841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206977674 + ... + 206977686.

It is an arithmetic number, because the mean of its divisors is an integer number (18149880).

Almost surely, 2^2690709840 is an apocalyptic number.

2690709840 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 2690709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807961600).

2690709840 is an abundant number, since it is smaller than the sum of its proper divisors (8925213360).

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

2690709840 is an frugal number, since it uses more digits than its factorization.

2690709840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2690709840 is about 51872.0525909666. The cubic root of 2690709840 is about 1390.8777369466.

The spelling of 2690709840 in words is "two billion, six hundred ninety million, seven hundred nine thousand, eight hundred forty".