2045144640 has 448 divisors, whose sum is σ = 8228136960. Its totient is φ = 418037760.

The previous prime is 2045144611. The next prime is 2045144677. The reversal of 2045144640 is 464415402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2045144598 and 2045144607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5395971 + ... + 5396349.

Almost surely, 2^2045144640 is an apocalyptic number.

2045144640 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 2045144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114068480).

2045144640 is an abundant number, since it is smaller than the sum of its proper divisors (6182992320).

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

2045144640 is a wasteful number, since it uses less digits than its factorization.

2045144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2045144640 is about 45223.2754231712. The cubic root of 2045144640 is about 1269.3303845980.

The spelling of 2045144640 in words is "two billion, forty-five million, one hundred forty-four thousand, six hundred forty".