2261378640400 has 60 divisors (see below), whose sum is σ = 5926867848144. Its totient is φ = 822319504000.

The previous prime is 2261378640343. The next prime is 2261378640407. The reversal of 2261378640400 is 40468731622.

It is a super-2 number, since 2×2261378640400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261378640407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256970446 + ... + 256979245.

Almost surely, 2^{2261378640400} is an apocalyptic number.

2261378640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261378640400 is an abundant number, since it is smaller than the sum of its proper divisors (3665489207744).

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

2261378640400 is a wasteful number, since it uses less digits than its factorization.

2261378640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513949720 (or 513949709 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 2261378640400 in words is "two trillion, two hundred sixty-one billion, three hundred seventy-eight million, six hundred forty thousand, four hundred".