2949245640 has 320 divisors, whose sum is σ = 10955165760. Its totient is φ = 705646080.

The previous prime is 2949245627. The next prime is 2949245653. The reversal of 2949245640 is 465429492.

2949245640 is a `hidden beast` number, since 29 + 49 + 24 + 564 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2949245627) and next prime (2949245653).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2957622 + ... + 2958618.

It is an arithmetic number, because the mean of its divisors is an integer number (34234893).

Almost surely, 2^2949245640 is an apocalyptic number.

2949245640 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 2949245640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477582880).

2949245640 is an abundant number, since it is smaller than the sum of its proper divisors (8005920120).

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

2949245640 is a wasteful number, since it uses less digits than its factorization.

2949245640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2949245640 is about 54306.9575653065. The cubic root of 2949245640 is about 1434.0698833260.

The spelling of 2949245640 in words is "two billion, nine hundred forty-nine million, two hundred forty-five thousand, six hundred forty".