2945437784640 has 1120 divisors, whose sum is σ = 11717826785280. Its totient is φ = 697314852864.

The previous prime is 2945437784609. The next prime is 2945437784657. The reversal of 2945437784640 is 464877345492.

2945437784640 is a `hidden beast` number, since 2 + 9 + 4 + 543 + 7 + 7 + 8 + 46 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3742614327 + ... + 3742615113.

It is an arithmetic number, because the mean of its divisors is an integer number (10462345344).

Almost surely, 2^{2945437784640} is an apocalyptic number.

2945437784640 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 2945437784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858913392640).

2945437784640 is an abundant number, since it is smaller than the sum of its proper divisors (8772389000640).

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

2945437784640 is a wasteful number, since it uses less digits than its factorization.

2945437784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 2945437784640 in words is "two trillion, nine hundred forty-five billion, four hundred thirty-seven million, seven hundred eighty-four thousand, six hundred forty".