2234634998400 has 1152 divisors, whose sum is σ = 9502391808000. Its totient is φ = 507960668160.

The previous prime is 2234634998399. The next prime is 2234634998429. The reversal of 2234634998400 is 48994364322.

2234634998400 is a `hidden beast` number, since 22 + 34 + 63 + 49 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1083195769 + ... + 1083197831.

It is an arithmetic number, because the mean of its divisors is an integer number (8248604000).

Almost surely, 2^{2234634998400} is an apocalyptic number.

2234634998400 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 2234634998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751195904000).

2234634998400 is an abundant number, since it is smaller than the sum of its proper divisors (7267756809600).

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

2234634998400 is a wasteful number, since it uses less digits than its factorization.

2234634998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2234634998400 in words is "two trillion, two hundred thirty-four billion, six hundred thirty-four million, nine hundred ninety-eight thousand, four hundred".