2134737977400 has 864 divisors, whose sum is σ = 8984876359680. Its totient is φ = 444400128000.

The previous prime is 2134737977347. The next prime is 2134737977401. The reversal of 2134737977400 is 47797374312.

2134737977400 is a `hidden beast` number, since 2 + 1 + 34 + 73 + 79 + 77 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134737977401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 112873945 + ... + 112892855.

Almost surely, 2^{2134737977400} is an apocalyptic number.

2134737977400 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 2134737977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492438179840).

2134737977400 is an abundant number, since it is smaller than the sum of its proper divisors (6850138382280).

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

2134737977400 is a wasteful number, since it uses less digits than its factorization.

2134737977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19005 (or 18976 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 2134737977400 in words is "two trillion, one hundred thirty-four billion, seven hundred thirty-seven million, nine hundred seventy-seven thousand, four hundred".