2403361255680 has 1152 divisors, whose sum is σ = 10657977200640. Its totient is φ = 498230231040.

The previous prime is 2403361255657. The next prime is 2403361255693. The reversal of 2403361255680 is 865521633042.

2403361255680 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 3 + 6 + 12 + 556 + 80 = 666.

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

It is a super-2 number, since 2×2403361255680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1578043399 + ... + 1578044921.

It is an arithmetic number, because the mean of its divisors is an integer number (9251716320).

Almost surely, 2^{2403361255680} is an apocalyptic number.

2403361255680 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 2403361255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328988600320).

2403361255680 is an abundant number, since it is smaller than the sum of its proper divisors (8254615944960).

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

2403361255680 is a wasteful number, since it uses less digits than its factorization.

2403361255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2403361255680 in words is "two trillion, four hundred three billion, three hundred sixty-one million, two hundred fifty-five thousand, six hundred eighty".