2949425651760 has 1440 divisors, whose sum is σ = 11784337754112. Its totient is φ = 607617884160.

The previous prime is 2949425651743. The next prime is 2949425651801. The reversal of 2949425651760 is 671565249492.

It is a super-2 number, since 2×2949425651760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2949425651694 and 2949425651703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9607249527 + ... + 9607249833.

Almost surely, 2^{2949425651760} is an apocalyptic number.

2949425651760 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 2949425651760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892168877056).

2949425651760 is an abundant number, since it is smaller than the sum of its proper divisors (8834912102352).

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

2949425651760 is a wasteful number, since it uses less digits than its factorization.

2949425651760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 2949425651760 in words is "two trillion, nine hundred forty-nine billion, four hundred twenty-five million, six hundred fifty-one thousand, seven hundred sixty".