2188781378560 has 352 divisors, whose sum is σ = 6078804738048. Its totient is φ = 740700979200.

The previous prime is 2188781378513. The next prime is 2188781378587. The reversal of 2188781378560 is 658731878812.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 2188781378492 and 2188781378501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901633985 + ... + 1901635135.

Almost surely, 2^{2188781378560} is an apocalyptic number.

2188781378560 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 2188781378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039402369024).

2188781378560 is an abundant number, since it is smaller than the sum of its proper divisors (3890023359488).

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

2188781378560 is a wasteful number, since it uses less digits than its factorization.

2188781378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 64.

The spelling of 2188781378560 in words is "two trillion, one hundred eighty-eight billion, seven hundred eighty-one million, three hundred seventy-eight thousand, five hundred sixty".