2945503440 has 600 divisors, whose sum is σ = 11799985824. Its totient is φ = 674956800.

The previous prime is 2945503423. The next prime is 2945503447. The reversal of 2945503440 is 443055492.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2945503395 and 2945503404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945503447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68500059 + ... + 68500101.

Almost surely, 2^2945503440 is an apocalyptic number.

2945503440 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 2945503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899992912).

2945503440 is an abundant number, since it is smaller than the sum of its proper divisors (8854482384).

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

2945503440 is a wasteful number, since it uses less digits than its factorization.

2945503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2945503440 is about 54272.4924800769. The cubic root of 2945503440 is about 1433.4630786944.

The spelling of 2945503440 in words is "two billion, nine hundred forty-five million, five hundred three thousand, four hundred forty".