2045373440 has 176 divisors, whose sum is σ = 5588801280. Its totient is φ = 710983680.

The previous prime is 2045373439. The next prime is 2045373487. The reversal of 2045373440 is 443735402.

It is a tau number, because it is divible by the number of its divisors (176).

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 = 2045373397 and 2045373406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294571 + ... + 1296149.

Almost surely, 2^2045373440 is an apocalyptic number.

2045373440 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 2045373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794400640).

2045373440 is an abundant number, since it is smaller than the sum of its proper divisors (3543427840).

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

2045373440 is a wasteful number, since it uses less digits than its factorization.

2045373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 2045373440 is about 45225.8050232387. The cubic root of 2045373440 is about 1269.3777181633.

The spelling of 2045373440 in words is "two billion, forty-five million, three hundred seventy-three thousand, four hundred forty".