2260408550400 has 3696 divisors, whose sum is σ = 11372574691968. Its totient is φ = 433564876800.

The previous prime is 2260408550357. The next prime is 2260408550429. The reversal of 2260408550400 is 40558040622.

It is a happy number.

2260408550400 is a `hidden beast` number, since 2 + 2 + 60 + 4 + 0 + 8 + 550 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 173877580794 + ... + 173877580806.

Almost surely, 2^{2260408550400} is an apocalyptic number.

2260408550400 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 2260408550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686287345984).

2260408550400 is an abundant number, since it is smaller than the sum of its proper divisors (9112166141568).

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

2260408550400 is an equidigital number, since it uses as much as digits as its factorization.

2260408550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2260408550400 in words is "two trillion, two hundred sixty billion, four hundred eight million, five hundred fifty thousand, four hundred".