2073746228400 has 540 divisors, whose sum is σ = 9132456059064. Its totient is φ = 430907904000.

The previous prime is 2073746228387. The next prime is 2073746228417. The reversal of 2073746228400 is 48226473702.

2073746228400 is a `hidden beast` number, since 207 + 37 + 4 + 6 + 2 + 2 + 8 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1406040 + ... + 2474760.

Almost surely, 2^{2073746228400} is an apocalyptic number.

2073746228400 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 2073746228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566228029532).

2073746228400 is an abundant number, since it is smaller than the sum of its proper divisors (7058709830664).

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

2073746228400 is a wasteful number, since it uses less digits than its factorization.

2073746228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068770 (or 1068749 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2073746228400 in words is "two trillion, seventy-three billion, seven hundred forty-six million, two hundred twenty-eight thousand, four hundred".