2334948000 has 864 divisors, whose sum is σ = 10244864448. Its totient is φ = 459648000.

The previous prime is 2334947999. The next prime is 2334948001. The reversal of 2334948000 is 8494332.

It is an interprime number because it is at equal distance from previous prime (2334947999) and next prime (2334948001).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334948001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122891991 + ... + 122892009.

It is an arithmetic number, because the mean of its divisors is an integer number (11857482).

Almost surely, 2^2334948000 is an apocalyptic number.

2334948000 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 2334948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122432224).

2334948000 is an abundant number, since it is smaller than the sum of its proper divisors (7909916448).

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

2334948000 is a wasteful number, since it uses less digits than its factorization.

2334948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2334948000 is about 48321.2996513960. The cubic root of 2334948000 is about 1326.6582773754.

The spelling of 2334948000 in words is "two billion, three hundred thirty-four million, nine hundred forty-eight thousand".