2045313900 has 324 divisors, whose sum is σ = 7853325480. Its totient is φ = 442713600.

The previous prime is 2045313863. The next prime is 2045313923. The reversal of 2045313900 is 93135402.

2045313900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 836680 + ... + 839120.

Almost surely, 2^2045313900 is an apocalyptic number.

2045313900 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 2045313900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926662740).

2045313900 is an abundant number, since it is smaller than the sum of its proper divisors (5808011580).

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

2045313900 is a wasteful number, since it uses less digits than its factorization.

2045313900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2045313900 is about 45225.1467659310. The cubic root of 2045313900 is about 1269.3654010185.

The spelling of 2045313900 in words is "two billion, forty-five million, three hundred thirteen thousand, nine hundred".