2283961640400 has 360 divisors, whose sum is σ = 8652701772000. Its totient is φ = 553292160000.

The previous prime is 2283961640399. The next prime is 2283961640417. The reversal of 2283961640400 is 40461693822.

2283961640400 is a `hidden beast` number, since 2 + 2 + 83 + 9 + 6 + 164 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57439726 + ... + 57479474.

It is an arithmetic number, because the mean of its divisors is an integer number (24035282700).

Almost surely, 2^{2283961640400} is an apocalyptic number.

2283961640400 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 2283961640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326350886000).

2283961640400 is an abundant number, since it is smaller than the sum of its proper divisors (6368740131600).

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

2283961640400 is a wasteful number, since it uses less digits than its factorization.

2283961640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41235 (or 41221 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2283961640400 in words is "two trillion, two hundred eighty-three billion, nine hundred sixty-one million, six hundred forty thousand, four hundred".