2951393248440 has 768 divisors, whose sum is σ = 12555288345600. Its totient is φ = 583843479552.

The previous prime is 2951393248403. The next prime is 2951393248481. The reversal of 2951393248440 is 448423931592.

It is a happy number.

2951393248440 is a `hidden beast` number, since 2 + 9 + 5 + 1 + 393 + 248 + 4 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60352239 + ... + 60401121.

It is an arithmetic number, because the mean of its divisors is an integer number (16348031700).

Almost surely, 2^{2951393248440} is an apocalyptic number.

2951393248440 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 2951393248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277644172800).

2951393248440 is an abundant number, since it is smaller than the sum of its proper divisors (9603895097160).

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

2951393248440 is a wasteful number, since it uses less digits than its factorization.

2951393248440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49036 (or 49029 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2951393248440 in words is "two trillion, nine hundred fifty-one billion, three hundred ninety-three million, two hundred forty-eight thousand, four hundred forty".