2945279920 has 240 divisors, whose sum is σ = 8176092768. Its totient is φ = 977633280.

The previous prime is 2945279917. The next prime is 2945279923. The reversal of 2945279920 is 299725492.

It is an interprime number because it is at equal distance from previous prime (2945279917) and next prime (2945279923).

It is not an unprimeable number, because it can be changed into a prime (2945279923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9409684 + ... + 9409996.

Almost surely, 2^2945279920 is an apocalyptic number.

2945279920 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 2945279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088046384).

2945279920 is an abundant number, since it is smaller than the sum of its proper divisors (5230812848).

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

2945279920 is a wasteful number, since it uses less digits than its factorization.

2945279920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 2945279920 is about 54270.4332026196. The cubic root of 2945279920 is about 1433.4268182521.

The spelling of 2945279920 in words is "two billion, nine hundred forty-five million, two hundred seventy-nine thousand, nine hundred twenty".