2956233498000 has 320 divisors, whose sum is σ = 9642015871488. Its totient is φ = 779159961600.

The previous prime is 2956233497953. The next prime is 2956233498007. The reversal of 2956233498000 is 8943326592.

It is a happy number.

2956233498000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2956233498007) 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, 498771037 + ... + 498776963.

Almost surely, 2^{2956233498000} is an apocalyptic number.

2956233498000 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 2956233498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821007935744).

2956233498000 is an abundant number, since it is smaller than the sum of its proper divisors (6685782373488).

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

2956233498000 is a wasteful number, since it uses less digits than its factorization.

2956233498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 2956233498000 in words is "two trillion, nine hundred fifty-six billion, two hundred thirty-three million, four hundred ninety-eight thousand".