2690938400 has 36 divisors (see below), whose sum is σ = 6569255322. Its totient is φ = 1076375040.

The previous prime is 2690938387. The next prime is 2690938427. The reversal of 2690938400 is 48390962.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1287087376 + 1403851024 = 35876^2 + 37468^2 .

It is a super-3 number, since 3×2690938400³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1681037 + ... + 1682636.

Almost surely, 2^2690938400 is an apocalyptic number.

2690938400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2690938400 is an abundant number, since it is smaller than the sum of its proper divisors (3878316922).

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

2690938400 is a wasteful number, since it uses less digits than its factorization.

2690938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363693 (or 3363680 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 2690938400 is about 51874.2556573104. The cubic root of 2690938400 is about 1390.9171181302.

The spelling of 2690938400 in words is "two billion, six hundred ninety million, nine hundred thirty-eight thousand, four hundred".