2900945343240 has 1152 divisors, whose sum is σ = 12255447859200. Its totient is φ = 603810754560.

The previous prime is 2900945343193. The next prime is 2900945343253. The reversal of 2900945343240 is 423435490092.

2900945343240 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 94 + 534 + 3 + 24 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 609567981 + ... + 609572739.

It is an arithmetic number, because the mean of its divisors is an integer number (10638409600).

Almost surely, 2^{2900945343240} is an apocalyptic number.

2900945343240 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 2900945343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127723929600).

2900945343240 is an abundant number, since it is smaller than the sum of its proper divisors (9354502515960).

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

2900945343240 is a wasteful number, since it uses less digits than its factorization.

2900945343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2900945343240 in words is "two trillion, nine hundred billion, nine hundred forty-five million, three hundred forty-three thousand, two hundred forty".