2045920466240 has 224 divisors, whose sum is σ = 5897639476224. Its totient is φ = 659939328000.

The previous prime is 2045920466237. The next prime is 2045920466243. The reversal of 2045920466240 is 426640295402.

It is an interprime number because it is at equal distance from previous prime (2045920466237) and next prime (2045920466243).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2045920466191 and 2045920466200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045920466243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114269129 + ... + 114287031.

Almost surely, 2^{2045920466240} is an apocalyptic number.

2045920466240 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 2045920466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948819738112).

2045920466240 is an abundant number, since it is smaller than the sum of its proper divisors (3851719009984).

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

2045920466240 is a wasteful number, since it uses less digits than its factorization.

2045920466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20945 (or 20935 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 2045920466240 in words is "two trillion, forty-five billion, nine hundred twenty million, four hundred sixty-six thousand, two hundred forty".