2547940779400 has 48 divisors (see below), whose sum is σ = 5924615192100. Its totient is φ = 1019063988480.

The previous prime is 2547940779389. The next prime is 2547940779407. The reversal of 2547940779400 is 49770497452.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2073409924356 + 474530855044 = 1439934^2 + 688862^2 .

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2547940779407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129146 + ... + 2524054.

Almost surely, 2^{2547940779400} is an apocalyptic number.

2547940779400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2547940779400 is an abundant number, since it is smaller than the sum of its proper divisors (3376674412700).

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

2547940779400 is a wasteful number, since it uses less digits than its factorization.

2547940779400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404058 (or 1404049 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 2547940779400 in words is "two trillion, five hundred forty-seven billion, nine hundred forty million, seven hundred seventy-nine thousand, four hundred".