234301977000 has 1920 divisors, whose sum is σ = 1084539456000. Its totient is φ = 46637337600.

The previous prime is 234301976977. The next prime is 234301977059. The reversal of 234301977000 is 779103432.

It is a super-2 number, since 2×234301977000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 980342881 + ... + 980343119.

It is an arithmetic number, because the mean of its divisors is an integer number (564864300).

Almost surely, 2^234301977000 is an apocalyptic number.

234301977000 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 234301977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542269728000).

234301977000 is an abundant number, since it is smaller than the sum of its proper divisors (850237479000).

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

234301977000 is a wasteful number, since it uses less digits than its factorization.

234301977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 234301977000 in words is "two hundred thirty-four billion, three hundred one million, nine hundred seventy-seven thousand".