2045151600 has 120 divisors (see below), whose sum is σ = 6586340352. Its totient is φ = 542457600.

The previous prime is 2045151593. The next prime is 2045151607. The reversal of 2045151600 is 61515402.

It is an interprime number because it is at equal distance from previous prime (2045151593) and next prime (2045151607).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045151607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224739 + ... + 233661.

Almost surely, 2^2045151600 is an apocalyptic number.

2045151600 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 2045151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293170176).

2045151600 is an abundant number, since it is smaller than the sum of its proper divisors (4541188752).

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

2045151600 is a wasteful number, since it uses less digits than its factorization.

2045151600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2045151600 is about 45223.3523746305. The cubic root of 2045151600 is about 1269.3318245172.

The spelling of 2045151600 in words is "two billion, forty-five million, one hundred fifty-one thousand, six hundred".