2995005440 has 288 divisors, whose sum is σ = 8604610560. Its totient is φ = 997097472.

The previous prime is 2995005437. The next prime is 2995005451. The reversal of 2995005440 is 445005992.

It is a junction number, because it is equal to n+sod(n) for n = 2995005394 and 2995005403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23582657 + ... + 23582783.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 2^2995005440 is an apocalyptic number.

2995005440 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 2995005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2995005440 is an abundant number, since it is smaller than the sum of its proper divisors (5609605120).

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

2995005440 is a wasteful number, since it uses less digits than its factorization.

2995005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 2995005440 is about 54726.6428716398. The cubic root of 2995005440 is about 1441.4487477239.

The spelling of 2995005440 in words is "two billion, nine hundred ninety-five million, five thousand, four hundred forty".