2959949193240 has 512 divisors, whose sum is σ = 10233912729600. Its totient is φ = 679311360000.

The previous prime is 2959949193233. The next prime is 2959949193277. The reversal of 2959949193240 is 423919499592.

It is a super-2 number, since 2×2959949193240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 730669215 + ... + 730673265.

It is an arithmetic number, because the mean of its divisors is an integer number (19988110800).

Almost surely, 2^{2959949193240} is an apocalyptic number.

2959949193240 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 2959949193240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116956364800).

2959949193240 is an abundant number, since it is smaller than the sum of its proper divisors (7273963536360).

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

2959949193240 is a wasteful number, since it uses less digits than its factorization.

2959949193240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 66.

The spelling of 2959949193240 in words is "two trillion, nine hundred fifty-nine billion, nine hundred forty-nine million, one hundred ninety-three thousand, two hundred forty".