2342072678400 has 2592 divisors, whose sum is σ = 10746127828800. Its totient is φ = 483065856000.

The previous prime is 2342072678347. The next prime is 2342072678459. The reversal of 2342072678400 is 48762702432.

2342072678400 is a `hidden beast` number, since 2 + 34 + 207 + 2 + 6 + 7 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23188838350 + ... + 23188838450.

It is an arithmetic number, because the mean of its divisors is an integer number (4145882650).

Almost surely, 2^{2342072678400} is an apocalyptic number.

2342072678400 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 2342072678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373063914400).

2342072678400 is an abundant number, since it is smaller than the sum of its proper divisors (8404055150400).

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

2342072678400 is a wasteful number, since it uses less digits than its factorization.

2342072678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2342072678400 in words is "two trillion, three hundred forty-two billion, seventy-two million, six hundred seventy-eight thousand, four hundred".