2401880040000 has 2205 divisors, whose sum is σ = 10647191121501. Its totient is φ = 535610880000.

The previous prime is 2401880039983. The next prime is 2401880040059. The reversal of 2401880040000 is 400881042.

The square root of 2401880040000 is 1549800.

It is a perfect power (a square), and thus also a powerful number.

2401880040000 is a `hidden beast` number, since 240 + 18 + 8 + 0 + 0 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2392515994176 + 9364045824 = 1546776^2 + 96768^2 .

It is a tau number, because it is divible by the number of its divisors (2205).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 58582439980 + ... + 58582440020.

Almost surely, 2^{2401880040000} is an apocalyptic number.

2401880040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2401880040000 is the 1549800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401880040000

2401880040000 is an abundant number, since it is smaller than the sum of its proper divisors (8245311081501).

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

2401880040000 is an frugal number, since it uses more digits than its factorization.

2401880040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 2401880040000 in words is "two trillion, four hundred one billion, eight hundred eighty million, forty thousand".