2007004889344 has 405 divisors, whose sum is σ = 5097418036893. Its totient is φ = 788267870208.

The previous prime is 2007004889333. The next prime is 2007004889413. The reversal of 2007004889344 is 4439884007002.

It is a happy number.

The square root of 2007004889344 is 1416688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 296894214400 + 1710110674944 = 544880^2 + 1307712^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14438884027 + ... + 14438884165.

Almost surely, 2^{2007004889344} is an apocalyptic number.

2007004889344 is the 1416688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007004889344

2007004889344 is an abundant number, since it is smaller than the sum of its proper divisors (3090413147549).

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

2007004889344 is an frugal number, since it uses more digits than its factorization.

2007004889344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 2007004889344 by its sum of digits (49), we get a square (98343239577856 = 9916816²).

2007004889344 divided by its sum of digits (49) gives a square (40959283456 = 202384²).

The spelling of 2007004889344 in words is "two trillion, seven billion, four million, eight hundred eighty-nine thousand, three hundred forty-four".