2045102400 has 252 divisors, whose sum is σ = 7930188864. Its totient is φ = 495744000.

The previous prime is 2045102393. The next prime is 2045102401. The reversal of 2045102400 is 42015402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045102401) 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, 151945 + ... + 164855.

Almost surely, 2^2045102400 is an apocalyptic number.

2045102400 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 2045102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965094432).

2045102400 is an abundant number, since it is smaller than the sum of its proper divisors (5885086464).

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

2045102400 is a wasteful number, since it uses less digits than its factorization.

2045102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2045102400 is about 45222.8084046093. The cubic root of 2045102400 is about 1269.3216457076.

Adding to 2045102400 its reverse (42015402), we get a palindrome (2087117802).

The spelling of 2045102400 in words is "two billion, forty-five million, one hundred two thousand, four hundred".