2375538762240 has 2240 divisors, whose sum is σ = 10294464254976. Its totient is φ = 514258108416.

The previous prime is 2375538762239. The next prime is 2375538762283. The reversal of 2375538762240 is 422678355732.

2375538762240 is a `hidden beast` number, since 2 + 3 + 7 + 5 + 5 + 3 + 8 + 7 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 32541626844 + ... + 32541626916.

Almost surely, 2^{2375538762240} is an apocalyptic number.

2375538762240 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 2375538762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147232127488).

2375538762240 is an abundant number, since it is smaller than the sum of its proper divisors (7918925492736).

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

2375538762240 is an frugal number, since it uses more digits than its factorization.

2375538762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2375538762240 in words is "two trillion, three hundred seventy-five billion, five hundred thirty-eight million, seven hundred sixty-two thousand, two hundred forty".