2949488640000 has 1700 divisors, whose sum is σ = 12683612744704. Its totient is φ = 668860416000.

The previous prime is 2949488639927. The next prime is 2949488640019. The reversal of 2949488640000 is 468849492.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 23224319937 + ... + 23224320063.

Almost surely, 2^{2949488640000} is an apocalyptic number.

2949488640000 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 2949488640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341806372352).

2949488640000 is an abundant number, since it is smaller than the sum of its proper divisors (9734124104704).

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

2949488640000 is an frugal number, since it uses more digits than its factorization.

2949488640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2949488640000 in words is "two trillion, nine hundred forty-nine billion, four hundred eighty-eight million, six hundred forty thousand".