2957363969940 has 288 divisors, whose sum is σ = 9762849008640. Its totient is φ = 721878220800.

The previous prime is 2957363969897. The next prime is 2957363969953. The reversal of 2957363969940 is 499693637592.

2957363969940 is a `hidden beast` number, since 2 + 9 + 57 + 363 + 96 + 99 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67937062 + ... + 67980578.

It is an arithmetic number, because the mean of its divisors is an integer number (33898781280).

Almost surely, 2^{2957363969940} is an apocalyptic number.

2957363969940 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 2957363969940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881424504320).

2957363969940 is an abundant number, since it is smaller than the sum of its proper divisors (6805485038700).

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

2957363969940 is a wasteful number, since it uses less digits than its factorization.

2957363969940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44223 (or 44218 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 72.

The spelling of 2957363969940 in words is "two trillion, nine hundred fifty-seven billion, three hundred sixty-three million, nine hundred sixty-nine thousand, nine hundred forty".