2690437680 has 480 divisors, whose sum is σ = 11348273664. Its totient is φ = 578285568.

The previous prime is 2690437669. The next prime is 2690437681. The reversal of 2690437680 is 867340962.

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

It is not an unprimeable number, because it can be changed into a prime (2690437681) 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, 2312779 + ... + 2313941.

Almost surely, 2^2690437680 is an apocalyptic number.

2690437680 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 2690437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674136832).

2690437680 is an abundant number, since it is smaller than the sum of its proper divisors (8657835984).

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

2690437680 is a wasteful number, since it uses less digits than its factorization.

2690437680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2690437680 is about 51869.4291466563. The cubic root of 2690437680 is about 1390.8308405176.

The spelling of 2690437680 in words is "two billion, six hundred ninety million, four hundred thirty-seven thousand, six hundred eighty".