2601690000 has 400 divisors, whose sum is σ = 10347587712. Its totient is φ = 548352000.

The previous prime is 2601689983. The next prime is 2601690001. The reversal of 2601690000 is 961062.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2601690000² = 13537581712200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2601690001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2729524 + ... + 2730476.

Almost surely, 2^2601690000 is an apocalyptic number.

2601690000 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 2601690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173793856).

2601690000 is an abundant number, since it is smaller than the sum of its proper divisors (7745897712).

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

2601690000 is a wasteful number, since it uses less digits than its factorization.

2601690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2601690000 is about 51006.7642573022. The cubic root of 2601690000 is about 1375.3667341335.

The spelling of 2601690000 in words is "two billion, six hundred one million, six hundred ninety thousand".