2287691078400 has 3888 divisors, whose sum is σ = 11309896120320. Its totient is φ = 442522828800.

The previous prime is 2287691078399. The next prime is 2287691078437. The reversal of 2287691078400 is 48701967822.

It is a happy number.

2287691078400 is a `hidden beast` number, since 2 + 2 + 87 + 6 + 91 + 0 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 73796486385 + ... + 73796486415.

Almost surely, 2^{2287691078400} is an apocalyptic number.

2287691078400 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 2287691078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654948060160).

2287691078400 is an abundant number, since it is smaller than the sum of its proper divisors (9022205041920).

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

2287691078400 is a wasteful number, since it uses less digits than its factorization.

2287691078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2287691078400 in words is "two trillion, two hundred eighty-seven billion, six hundred ninety-one million, seventy-eight thousand, four hundred".