2045993400 has 144 divisors (see below), whose sum is σ = 7495848360. Its totient is φ = 495993600.

The previous prime is 2045993393. The next prime is 2045993407. The reversal of 2045993400 is 43995402.

2045993400 is a `hidden beast` number, since 20 + 4 + 599 + 3 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2045993393) and next prime (2045993407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045993407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31867 + ... + 71466.

Almost surely, 2^2045993400 is an apocalyptic number.

2045993400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045993400 is an abundant number, since it is smaller than the sum of its proper divisors (5449854960).

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

2045993400 is a wasteful number, since it uses less digits than its factorization.

2045993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103366 (or 103354 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2045993400 is about 45232.6585555172. The cubic root of 2045993400 is about 1269.5059561821.

The spelling of 2045993400 in words is "two billion, forty-five million, nine hundred ninety-three thousand, four hundred".