2987400009600 has 1536 divisors, whose sum is σ = 11586883392000. Its totient is φ = 760261386240.

The previous prime is 2987400009541. The next prime is 2987400009611. The reversal of 2987400009600 is 69000047892.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21492086331 + ... + 21492086469.

It is an arithmetic number, because the mean of its divisors is an integer number (7543543875).

Almost surely, 2^{2987400009600} is an apocalyptic number.

2987400009600 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 2987400009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793441696000).

2987400009600 is an abundant number, since it is smaller than the sum of its proper divisors (8599483382400).

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

2987400009600 is an equidigital number, since it uses as much as digits as its factorization.

2987400009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2987400009600 in words is "two trillion, nine hundred eighty-seven billion, four hundred million, nine thousand, six hundred".