2950874653440 has 288 divisors, whose sum is σ = 10875272518656. Its totient is φ = 667936604160.

The previous prime is 2950874653429. The next prime is 2950874653477. The reversal of 2950874653440 is 443564780592.

It is a super-2 number, since 2×2950874653440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235730 + ... + 3301550.

It is an arithmetic number, because the mean of its divisors is an integer number (37761362912).

Almost surely, 2^{2950874653440} is an apocalyptic number.

2950874653440 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 2950874653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437636259328).

2950874653440 is an abundant number, since it is smaller than the sum of its proper divisors (7924397865216).

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

2950874653440 is a wasteful number, since it uses less digits than its factorization.

2950874653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065955 (or 1065941 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 2950874653440 in words is "two trillion, nine hundred fifty billion, eight hundred seventy-four million, six hundred fifty-three thousand, four hundred forty".