2045761920 has 640 divisors, whose sum is σ = 8056857600. Its totient is φ = 492687360.

The previous prime is 2045761873. The next prime is 2045761943. The reversal of 2045761920 is 291675402.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30533727 + ... + 30533793.

It is an arithmetic number, because the mean of its divisors is an integer number (12588840).

Almost surely, 2^2045761920 is an apocalyptic number.

2045761920 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 2045761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028428800).

2045761920 is an abundant number, since it is smaller than the sum of its proper divisors (6011095680).

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

2045761920 is a wasteful number, since it uses less digits than its factorization.

2045761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2045761920 is about 45230.0997124702. The cubic root of 2045761920 is about 1269.4580778390.

The spelling of 2045761920 in words is "two billion, forty-five million, seven hundred sixty-one thousand, nine hundred twenty".