2234739769920 has 504 divisors, whose sum is σ = 9183208749624. Its totient is φ = 496991158272.

The previous prime is 2234739769909. The next prime is 2234739769961. The reversal of 2234739769920 is 299679374322.

2234739769920 is a `hidden beast` number, since 2 + 2 + 3 + 473 + 9 + 76 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69392203776 + 2165347566144 = 263424^2 + 1471512^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5007444 + ... + 5435436.

It is an arithmetic number, because the mean of its divisors is an integer number (18220652281).

Almost surely, 2^{2234739769920} is an apocalyptic number.

2234739769920 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 2234739769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591604374812).

2234739769920 is an abundant number, since it is smaller than the sum of its proper divisors (6948468979704).

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

2234739769920 is a wasteful number, since it uses less digits than its factorization.

2234739769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428067 (or 428047 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 2234739769920 in words is "two trillion, two hundred thirty-four billion, seven hundred thirty-nine million, seven hundred sixty-nine thousand, nine hundred twenty".