2952383763840 has 512 divisors, whose sum is σ = 10853957283840. Its totient is φ = 668645253120.

The previous prime is 2952383763829. The next prime is 2952383763841. The reversal of 2952383763840 is 483673832592.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952383763841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2258900467 + ... + 2258901773.

It is an arithmetic number, because the mean of its divisors is an integer number (21199135320).

Almost surely, 2^{2952383763840} is an apocalyptic number.

2952383763840 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 2952383763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426978641920).

2952383763840 is an abundant number, since it is smaller than the sum of its proper divisors (7901573520000).

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

2952383763840 is a wasteful number, since it uses less digits than its factorization.

2952383763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 2952383763840 in words is "two trillion, nine hundred fifty-two billion, three hundred eighty-three million, seven hundred sixty-three thousand, eight hundred forty".