2103664640 has 448 divisors, whose sum is σ = 6794357760. Its totient is φ = 605552640.

The previous prime is 2103664601. The next prime is 2103664657. The reversal of 2103664640 is 464663012.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2103664597 and 2103664606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72540146 + ... + 72540174.

Almost surely, 2^2103664640 is an apocalyptic number.

2103664640 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 2103664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397178880).

2103664640 is an abundant number, since it is smaller than the sum of its proper divisors (4690693120).

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

2103664640 is a wasteful number, since it uses less digits than its factorization.

2103664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2103664640 is about 45865.7240213212. The cubic root of 2103664640 is about 1281.3236307794.

The spelling of 2103664640 in words is "two billion, one hundred three million, six hundred sixty-four thousand, six hundred forty".