2745151196400 has 360 divisors, whose sum is σ = 9952254014976. Its totient is φ = 699888499200.

The previous prime is 2745151196387. The next prime is 2745151196401. The reversal of 2745151196400 is 46911515472.

2745151196400 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 1 + 51 + 196 + 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 not an unprimeable number, because it can be changed into a prime (2745151196401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9114619 + ... + 9410981.

Almost surely, 2^{2745151196400} is an apocalyptic number.

2745151196400 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 2745151196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976127007488).

2745151196400 is an abundant number, since it is smaller than the sum of its proper divisors (7207102818576).

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

2745151196400 is a wasteful number, since it uses less digits than its factorization.

2745151196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296501 (or 296487 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2745151196400 in words is "two trillion, seven hundred forty-five billion, one hundred fifty-one million, one hundred ninety-six thousand, four hundred".